Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(11,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.q (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 11.10 | ||
Character | \(\chi\) | \(=\) | 175.11 |
Dual form | 175.2.q.a.16.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.189312 | + | 0.0842871i | 0.133864 | + | 0.0596000i | 0.472575 | − | 0.881290i | \(-0.343324\pi\) |
−0.338712 | + | 0.940890i | \(0.609991\pi\) | |||||||
\(3\) | −0.609162 | − | 0.676543i | −0.351700 | − | 0.390602i | 0.541173 | − | 0.840911i | \(-0.317980\pi\) |
−0.892873 | + | 0.450309i | \(0.851314\pi\) | |||||||
\(4\) | −1.30953 | − | 1.45438i | −0.654763 | − | 0.727188i | ||||
\(5\) | −1.65641 | + | 1.50211i | −0.740767 | + | 0.671762i | ||||
\(6\) | −0.0582978 | − | 0.179422i | −0.0238000 | − | 0.0732488i | ||||
\(7\) | −2.20881 | − | 1.45642i | −0.834852 | − | 0.550474i | ||||
\(8\) | −0.253398 | − | 0.779878i | −0.0895896 | − | 0.275728i | ||||
\(9\) | 0.226953 | − | 2.15932i | 0.0756511 | − | 0.719772i | ||||
\(10\) | −0.440185 | + | 0.144753i | −0.139199 | + | 0.0457749i | ||||
\(11\) | 0.0434930 | + | 0.413809i | 0.0131136 | + | 0.124768i | 0.999120 | − | 0.0419386i | \(-0.0133534\pi\) |
−0.986007 | + | 0.166707i | \(0.946687\pi\) | |||||||
\(12\) | −0.186234 | + | 1.77190i | −0.0537612 | + | 0.511504i | ||||
\(13\) | −3.58726 | − | 2.60630i | −0.994927 | − | 0.722857i | −0.0339325 | − | 0.999424i | \(-0.510803\pi\) |
−0.960995 | + | 0.276567i | \(0.910803\pi\) | |||||||
\(14\) | −0.295397 | − | 0.461892i | −0.0789482 | − | 0.123446i | ||||
\(15\) | 2.02526 | + | 0.205604i | 0.522919 | + | 0.0530867i | ||||
\(16\) | −0.391374 | + | 3.72367i | −0.0978435 | + | 0.930918i | ||||
\(17\) | 0.967730 | + | 0.205697i | 0.234709 | + | 0.0498890i | 0.323764 | − | 0.946138i | \(-0.395051\pi\) |
−0.0890553 | + | 0.996027i | \(0.528385\pi\) | |||||||
\(18\) | 0.224968 | − | 0.389655i | 0.0530254 | − | 0.0918426i | ||||
\(19\) | −0.541359 | + | 0.601240i | −0.124196 | + | 0.137934i | −0.802036 | − | 0.597276i | \(-0.796250\pi\) |
0.677840 | + | 0.735210i | \(0.262916\pi\) | |||||||
\(20\) | 4.35373 | + | 0.441991i | 0.973524 | + | 0.0988321i | ||||
\(21\) | 0.360195 | + | 2.38155i | 0.0786011 | + | 0.519697i | ||||
\(22\) | −0.0266450 | + | 0.0820048i | −0.00568073 | + | 0.0174835i | ||||
\(23\) | 3.22773 | + | 1.43708i | 0.673028 | + | 0.299651i | 0.714650 | − | 0.699482i | \(-0.246586\pi\) |
−0.0416221 | + | 0.999133i | \(0.513253\pi\) | |||||||
\(24\) | −0.373260 | + | 0.646506i | −0.0761915 | + | 0.131968i | ||||
\(25\) | 0.487359 | − | 4.97619i | 0.0974719 | − | 0.995238i | ||||
\(26\) | −0.459434 | − | 0.795763i | −0.0901024 | − | 0.156062i | ||||
\(27\) | −3.80866 | + | 2.76715i | −0.732976 | + | 0.532538i | ||||
\(28\) | 0.774319 | + | 5.11966i | 0.146332 | + | 0.967525i | ||||
\(29\) | 3.23419 | − | 9.95382i | 0.600574 | − | 1.84838i | 0.0758238 | − | 0.997121i | \(-0.475841\pi\) |
0.524750 | − | 0.851256i | \(-0.324159\pi\) | |||||||
\(30\) | 0.366076 | + | 0.209626i | 0.0668360 | + | 0.0382724i | ||||
\(31\) | 6.96840 | + | 1.48118i | 1.25156 | + | 0.266027i | 0.785576 | − | 0.618765i | \(-0.212367\pi\) |
0.465985 | + | 0.884793i | \(0.345700\pi\) | |||||||
\(32\) | −1.20796 | + | 2.09225i | −0.213539 | + | 0.369861i | ||||
\(33\) | 0.253465 | − | 0.281501i | 0.0441226 | − | 0.0490031i | ||||
\(34\) | 0.165865 | + | 0.120508i | 0.0284457 | + | 0.0206670i | ||||
\(35\) | 5.84638 | − | 0.905450i | 0.988219 | − | 0.153049i | ||||
\(36\) | −3.43766 | + | 2.49761i | −0.572944 | + | 0.416268i | ||||
\(37\) | 0.420162 | − | 3.99758i | 0.0690743 | − | 0.657198i | −0.904130 | − | 0.427257i | \(-0.859480\pi\) |
0.973205 | − | 0.229941i | \(-0.0738533\pi\) | |||||||
\(38\) | −0.153162 | + | 0.0681923i | −0.0248462 | + | 0.0110623i | ||||
\(39\) | 0.421951 | + | 4.01459i | 0.0675662 | + | 0.642849i | ||||
\(40\) | 1.59119 | + | 0.911164i | 0.251589 | + | 0.144068i | ||||
\(41\) | 3.78657 | + | 2.75110i | 0.591362 | + | 0.429650i | 0.842802 | − | 0.538223i | \(-0.180904\pi\) |
−0.251440 | + | 0.967873i | \(0.580904\pi\) | |||||||
\(42\) | −0.132545 | + | 0.481216i | −0.0204521 | + | 0.0742532i | ||||
\(43\) | −8.56727 | −1.30650 | −0.653248 | − | 0.757144i | \(-0.726594\pi\) | ||||
−0.653248 | + | 0.757144i | \(0.726594\pi\) | |||||||
\(44\) | 0.544878 | − | 0.605149i | 0.0821435 | − | 0.0912296i | ||||
\(45\) | 2.86760 | + | 3.91761i | 0.427476 | + | 0.584003i | ||||
\(46\) | 0.489921 | + | 0.544112i | 0.0722349 | + | 0.0802249i | ||||
\(47\) | −8.54379 | + | 1.81604i | −1.24624 | + | 0.264896i | −0.783384 | − | 0.621538i | \(-0.786508\pi\) |
−0.462855 | + | 0.886434i | \(0.653175\pi\) | |||||||
\(48\) | 2.75763 | − | 2.00354i | 0.398030 | − | 0.289186i | ||||
\(49\) | 2.75770 | + | 6.43390i | 0.393957 | + | 0.919129i | ||||
\(50\) | 0.511692 | − | 0.900974i | 0.0723641 | − | 0.127417i | ||||
\(51\) | −0.450341 | − | 0.780014i | −0.0630604 | − | 0.109224i | ||||
\(52\) | 0.907075 | + | 8.63024i | 0.125789 | + | 1.19680i | ||||
\(53\) | −5.95543 | − | 6.61418i | −0.818042 | − | 0.908527i | 0.179119 | − | 0.983827i | \(-0.442675\pi\) |
−0.997161 | + | 0.0753001i | \(0.976009\pi\) | |||||||
\(54\) | −0.954259 | + | 0.202834i | −0.129858 | + | 0.0276022i | ||||
\(55\) | −0.693626 | − | 0.620104i | −0.0935285 | − | 0.0836148i | ||||
\(56\) | −0.576120 | + | 2.09166i | −0.0769872 | + | 0.279509i | ||||
\(57\) | 0.736540 | 0.0975571 | ||||||||
\(58\) | 1.45125 | − | 1.61178i | 0.190558 | − | 0.211637i | ||||
\(59\) | 4.29066 | − | 1.91032i | 0.558596 | − | 0.248703i | −0.107963 | − | 0.994155i | \(-0.534433\pi\) |
0.666559 | + | 0.745452i | \(0.267766\pi\) | |||||||
\(60\) | −2.35310 | − | 3.21473i | −0.303784 | − | 0.415020i | ||||
\(61\) | −9.49455 | − | 4.22724i | −1.21565 | − | 0.541243i | −0.304184 | − | 0.952613i | \(-0.598384\pi\) |
−0.911468 | + | 0.411370i | \(0.865050\pi\) | |||||||
\(62\) | 1.19436 | + | 0.867751i | 0.151683 | + | 0.110204i | ||||
\(63\) | −3.64616 | + | 4.43899i | −0.459373 | + | 0.559260i | ||||
\(64\) | 5.65319 | − | 4.10728i | 0.706648 | − | 0.513410i | ||||
\(65\) | 9.85689 | − | 1.07136i | 1.22260 | − | 0.132886i | ||||
\(66\) | 0.0717109 | − | 0.0319277i | 0.00882700 | − | 0.00393003i | ||||
\(67\) | 8.75034 | + | 1.85994i | 1.06902 | + | 0.227228i | 0.708636 | − | 0.705574i | \(-0.249311\pi\) |
0.360388 | + | 0.932802i | \(0.382644\pi\) | |||||||
\(68\) | −0.968107 | − | 1.67681i | −0.117400 | − | 0.203343i | ||||
\(69\) | −0.993965 | − | 3.05911i | −0.119659 | − | 0.368274i | ||||
\(70\) | 1.18311 | + | 0.321362i | 0.141408 | + | 0.0384101i | ||||
\(71\) | 1.95181 | − | 6.00705i | 0.231637 | − | 0.712906i | −0.765913 | − | 0.642945i | \(-0.777712\pi\) |
0.997550 | − | 0.0699611i | \(-0.0222875\pi\) | |||||||
\(72\) | −1.74151 | + | 0.370170i | −0.205239 | + | 0.0436249i | ||||
\(73\) | 0.118873 | + | 1.13100i | 0.0139130 | + | 0.132374i | 0.999274 | − | 0.0381099i | \(-0.0121337\pi\) |
−0.985361 | + | 0.170484i | \(0.945467\pi\) | |||||||
\(74\) | 0.416486 | − | 0.721375i | 0.0484155 | − | 0.0838581i | ||||
\(75\) | −3.66349 | + | 2.70159i | −0.423023 | + | 0.311952i | ||||
\(76\) | 1.58335 | 0.181623 | ||||||||
\(77\) | 0.506610 | − | 0.977369i | 0.0577336 | − | 0.111382i | ||||
\(78\) | −0.258498 | + | 0.795575i | −0.0292691 | + | 0.0900812i | ||||
\(79\) | −10.6161 | + | 2.25653i | −1.19441 | + | 0.253879i | −0.761866 | − | 0.647735i | \(-0.775716\pi\) |
−0.432541 | + | 0.901614i | \(0.642383\pi\) | |||||||
\(80\) | −4.94508 | − | 6.75580i | −0.552876 | − | 0.755321i | ||||
\(81\) | −2.17911 | − | 0.463184i | −0.242123 | − | 0.0514649i | ||||
\(82\) | 0.484960 | + | 0.839975i | 0.0535549 | + | 0.0927597i | ||||
\(83\) | −2.69156 | − | 8.28376i | −0.295437 | − | 0.909260i | −0.983074 | − | 0.183206i | \(-0.941352\pi\) |
0.687638 | − | 0.726054i | \(-0.258648\pi\) | |||||||
\(84\) | 2.99198 | − | 3.64256i | 0.326452 | − | 0.397436i | ||||
\(85\) | −1.91193 | + | 1.11291i | −0.207378 | + | 0.120713i | ||||
\(86\) | −1.62189 | − | 0.722110i | −0.174893 | − | 0.0778672i | ||||
\(87\) | −8.70433 | + | 3.87542i | −0.933202 | + | 0.415488i | ||||
\(88\) | 0.311699 | − | 0.138777i | 0.0332272 | − | 0.0147937i | ||||
\(89\) | 0.398298 | + | 0.177334i | 0.0422195 | + | 0.0187974i | 0.427738 | − | 0.903903i | \(-0.359311\pi\) |
−0.385518 | + | 0.922700i | \(0.625977\pi\) | |||||||
\(90\) | 0.212666 | + | 0.983352i | 0.0224169 | + | 0.103654i | ||||
\(91\) | 4.12773 | + | 10.9814i | 0.432703 | + | 1.15116i | ||||
\(92\) | −2.13675 | − | 6.57623i | −0.222771 | − | 0.685619i | ||||
\(93\) | −3.24280 | − | 5.61670i | −0.336263 | − | 0.582424i | ||||
\(94\) | −1.77051 | − | 0.376333i | −0.182614 | − | 0.0388158i | ||||
\(95\) | −0.00641582 | − | 1.80907i | −0.000658249 | − | 0.185607i | ||||
\(96\) | 2.15134 | − | 0.457282i | 0.219570 | − | 0.0466711i | ||||
\(97\) | 2.94424 | − | 9.06144i | 0.298942 | − | 0.920050i | −0.682926 | − | 0.730487i | \(-0.739293\pi\) |
0.981869 | − | 0.189562i | \(-0.0607070\pi\) | |||||||
\(98\) | −0.0202298 | + | 1.45045i | −0.00204352 | + | 0.146518i | ||||
\(99\) | 0.903415 | 0.0907966 | ||||||||
\(100\) | −7.87547 | + | 5.80765i | −0.787547 | + | 0.580765i | ||||
\(101\) | 2.44001 | − | 4.22622i | 0.242790 | − | 0.420525i | −0.718718 | − | 0.695302i | \(-0.755271\pi\) |
0.961508 | + | 0.274777i | \(0.0886040\pi\) | |||||||
\(102\) | −0.0195099 | − | 0.185624i | −0.00193176 | − | 0.0183795i | ||||
\(103\) | −5.34647 | + | 1.13643i | −0.526804 | + | 0.111976i | −0.463633 | − | 0.886027i | \(-0.653454\pi\) |
−0.0631703 | + | 0.998003i | \(0.520121\pi\) | |||||||
\(104\) | −1.12359 | + | 3.45805i | −0.110177 | + | 0.339090i | ||||
\(105\) | −4.17397 | − | 3.40376i | −0.407338 | − | 0.332173i | ||||
\(106\) | −0.569945 | − | 1.75411i | −0.0553579 | − | 0.170374i | ||||
\(107\) | 1.88626 | + | 3.26710i | 0.182352 | + | 0.315843i | 0.942681 | − | 0.333695i | \(-0.108296\pi\) |
−0.760329 | + | 0.649538i | \(0.774962\pi\) | |||||||
\(108\) | 9.01202 | + | 1.91556i | 0.867182 | + | 0.184325i | ||||
\(109\) | −7.76790 | + | 3.45849i | −0.744030 | + | 0.331264i | −0.743500 | − | 0.668736i | \(-0.766836\pi\) |
−0.000530583 | 1.00000i | \(0.500169\pi\) | ||||||||
\(110\) | −0.0790450 | − | 0.175857i | −0.00753664 | − | 0.0167673i | ||||
\(111\) | −2.96048 | + | 2.15091i | −0.280996 | + | 0.204156i | ||||
\(112\) | 6.28769 | − | 7.65489i | 0.594131 | − | 0.723319i | ||||
\(113\) | 11.6664 | + | 8.47615i | 1.09748 | + | 0.797369i | 0.980647 | − | 0.195782i | \(-0.0627246\pi\) |
0.116837 | + | 0.993151i | \(0.462725\pi\) | |||||||
\(114\) | 0.139436 | + | 0.0620808i | 0.0130594 | + | 0.00581440i | ||||
\(115\) | −7.50507 | + | 2.46801i | −0.699852 | + | 0.230143i | ||||
\(116\) | −18.7119 | + | 8.33106i | −1.73735 | + | 0.773519i | ||||
\(117\) | −6.44196 | + | 7.15453i | −0.595560 | + | 0.661436i | ||||
\(118\) | 0.973289 | 0.0895985 | ||||||||
\(119\) | −1.83795 | − | 1.86377i | −0.168485 | − | 0.170851i | ||||
\(120\) | −0.352849 | − | 1.63155i | −0.0322106 | − | 0.148940i | ||||
\(121\) | 10.5903 | − | 2.25103i | 0.962753 | − | 0.204639i | ||||
\(122\) | −1.44113 | − | 1.60054i | −0.130474 | − | 0.144906i | ||||
\(123\) | −0.445394 | − | 4.23764i | −0.0401598 | − | 0.382095i | ||||
\(124\) | −6.97111 | − | 12.0743i | −0.626024 | − | 1.08431i | ||||
\(125\) | 6.66750 | + | 8.97466i | 0.596359 | + | 0.802718i | ||||
\(126\) | −1.06441 | + | 0.533029i | −0.0948253 | + | 0.0474860i | ||||
\(127\) | 7.71548 | − | 5.60562i | 0.684638 | − | 0.497419i | −0.190255 | − | 0.981735i | \(-0.560931\pi\) |
0.874893 | + | 0.484316i | \(0.160931\pi\) | |||||||
\(128\) | 6.14266 | − | 1.30566i | 0.542940 | − | 0.115405i | ||||
\(129\) | 5.21886 | + | 5.79613i | 0.459495 | + | 0.510320i | ||||
\(130\) | 1.95633 | + | 0.627988i | 0.171581 | + | 0.0550782i | ||||
\(131\) | 10.5052 | − | 11.6673i | 0.917848 | − | 1.01937i | −0.0818938 | − | 0.996641i | \(-0.526097\pi\) |
0.999742 | − | 0.0227322i | \(-0.00723650\pi\) | |||||||
\(132\) | −0.741328 | −0.0645243 | ||||||||
\(133\) | 2.07142 | − | 0.539581i | 0.179614 | − | 0.0467876i | ||||
\(134\) | 1.49977 | + | 1.08965i | 0.129561 | + | 0.0941314i | ||||
\(135\) | 2.15213 | − | 10.3045i | 0.185226 | − | 0.886873i | ||||
\(136\) | −0.0848017 | − | 0.806834i | −0.00727169 | − | 0.0691855i | ||||
\(137\) | 6.91690 | − | 3.07960i | 0.590951 | − | 0.263108i | −0.0893990 | − | 0.995996i | \(-0.528495\pi\) |
0.680350 | + | 0.732888i | \(0.261828\pi\) | |||||||
\(138\) | 0.0696741 | − | 0.662905i | 0.00593105 | − | 0.0564302i | ||||
\(139\) | −15.1662 | + | 11.0189i | −1.28638 | + | 0.934611i | −0.999726 | − | 0.0234221i | \(-0.992544\pi\) |
−0.286657 | + | 0.958033i | \(0.592544\pi\) | |||||||
\(140\) | −8.97286 | − | 7.31713i | −0.758345 | − | 0.618410i | ||||
\(141\) | 6.43318 | + | 4.67398i | 0.541771 | + | 0.393620i | ||||
\(142\) | 0.875818 | − | 0.972694i | 0.0734970 | − | 0.0816267i | ||||
\(143\) | 0.922487 | − | 1.59780i | 0.0771423 | − | 0.133614i | ||||
\(144\) | 7.95177 | + | 1.69020i | 0.662647 | + | 0.140850i | ||||
\(145\) | 9.59455 | + | 21.3457i | 0.796784 | + | 1.77266i | ||||
\(146\) | −0.0728247 | + | 0.224131i | −0.00602701 | + | 0.0185492i | ||||
\(147\) | 2.67293 | − | 5.78499i | 0.220459 | − | 0.477138i | ||||
\(148\) | −6.36420 | + | 4.62386i | −0.523134 | + | 0.380079i | ||||
\(149\) | 1.92641 | + | 3.33663i | 0.157817 | + | 0.273348i | 0.934081 | − | 0.357060i | \(-0.116221\pi\) |
−0.776264 | + | 0.630408i | \(0.782888\pi\) | |||||||
\(150\) | −0.921251 | + | 0.202658i | −0.0752198 | + | 0.0165469i | ||||
\(151\) | −1.56536 | + | 2.71128i | −0.127387 | + | 0.220641i | −0.922663 | − | 0.385606i | \(-0.873992\pi\) |
0.795276 | + | 0.606247i | \(0.207326\pi\) | |||||||
\(152\) | 0.606072 | + | 0.269841i | 0.0491590 | + | 0.0218870i | ||||
\(153\) | 0.663796 | − | 2.04295i | 0.0536647 | − | 0.165163i | ||||
\(154\) | 0.178287 | − | 0.142327i | 0.0143668 | − | 0.0114690i | ||||
\(155\) | −13.7674 | + | 8.01383i | −1.10582 | + | 0.643687i | ||||
\(156\) | 5.28617 | − | 5.87089i | 0.423233 | − | 0.470047i | ||||
\(157\) | 4.18892 | − | 7.25542i | 0.334312 | − | 0.579046i | −0.649040 | − | 0.760754i | \(-0.724829\pi\) |
0.983352 | + | 0.181708i | \(0.0581627\pi\) | |||||||
\(158\) | −2.19995 | − | 0.467615i | −0.175019 | − | 0.0372014i | ||||
\(159\) | −0.846952 | + | 8.05821i | −0.0671677 | + | 0.639058i | ||||
\(160\) | −1.14191 | − | 5.28010i | −0.0902756 | − | 0.417429i | ||||
\(161\) | −5.03646 | − | 7.87516i | −0.396929 | − | 0.620649i | ||||
\(162\) | −0.373491 | − | 0.271357i | −0.0293442 | − | 0.0213198i | ||||
\(163\) | −1.67962 | + | 15.9805i | −0.131558 | + | 1.25169i | 0.707132 | + | 0.707082i | \(0.249989\pi\) |
−0.838690 | + | 0.544609i | \(0.816678\pi\) | |||||||
\(164\) | −0.957472 | − | 9.10973i | −0.0747660 | − | 0.711351i | ||||
\(165\) | 0.00300389 | + | 0.847011i | 0.000233853 | + | 0.0659398i | ||||
\(166\) | 0.188670 | − | 1.79508i | 0.0146436 | − | 0.139325i | ||||
\(167\) | 1.98732 | + | 6.11633i | 0.153783 | + | 0.473296i | 0.998036 | − | 0.0626497i | \(-0.0199551\pi\) |
−0.844252 | + | 0.535946i | \(0.819955\pi\) | |||||||
\(168\) | 1.76604 | − | 0.884387i | 0.136253 | − | 0.0682320i | ||||
\(169\) | 2.05843 | + | 6.33520i | 0.158341 | + | 0.487323i | ||||
\(170\) | −0.455756 | + | 0.0495367i | −0.0349549 | + | 0.00379929i | ||||
\(171\) | 1.17540 | + | 1.30542i | 0.0898854 | + | 0.0998279i | ||||
\(172\) | 11.2191 | + | 12.4600i | 0.855446 | + | 0.950069i | ||||
\(173\) | 22.4093 | + | 9.97726i | 1.70375 | + | 0.758557i | 0.998783 | + | 0.0493138i | \(0.0157034\pi\) |
0.704964 | + | 0.709243i | \(0.250963\pi\) | |||||||
\(174\) | −1.97448 | −0.149685 | ||||||||
\(175\) | −8.32390 | + | 10.2817i | −0.629227 | + | 0.777221i | ||||
\(176\) | −1.55791 | −0.117432 | ||||||||
\(177\) | −3.90612 | − | 1.73912i | −0.293602 | − | 0.130720i | ||||
\(178\) | 0.0604557 | + | 0.0671428i | 0.00453134 | + | 0.00503257i | ||||
\(179\) | 14.8722 | + | 16.5172i | 1.11160 | + | 1.23456i | 0.969602 | + | 0.244688i | \(0.0786855\pi\) |
0.141996 | + | 0.989867i | \(0.454648\pi\) | |||||||
\(180\) | 1.94249 | − | 9.30078i | 0.144785 | − | 0.693239i | ||||
\(181\) | −6.69197 | − | 20.5958i | −0.497410 | − | 1.53087i | −0.813167 | − | 0.582031i | \(-0.802258\pi\) |
0.315757 | − | 0.948840i | \(-0.397742\pi\) | |||||||
\(182\) | −0.144160 | + | 2.42682i | −0.0106858 | + | 0.179888i | ||||
\(183\) | 2.92380 | + | 8.99854i | 0.216134 | + | 0.665191i | ||||
\(184\) | 0.302846 | − | 2.88139i | 0.0223261 | − | 0.212419i | ||||
\(185\) | 5.30882 | + | 7.25274i | 0.390313 | + | 0.533232i | ||||
\(186\) | −0.140486 | − | 1.33663i | −0.0103009 | − | 0.0980068i | ||||
\(187\) | −0.0430298 | + | 0.409402i | −0.00314665 | + | 0.0299384i | ||||
\(188\) | 13.8295 | + | 10.0477i | 1.00862 | + | 0.732806i | ||||
\(189\) | 12.4427 | − | 0.565123i | 0.905076 | − | 0.0411066i | ||||
\(190\) | 0.151267 | − | 0.343020i | 0.0109741 | − | 0.0248853i | ||||
\(191\) | −0.772514 | + | 7.34998i | −0.0558972 | + | 0.531826i | 0.930365 | + | 0.366636i | \(0.119490\pi\) |
−0.986262 | + | 0.165190i | \(0.947176\pi\) | |||||||
\(192\) | −6.22246 | − | 1.32262i | −0.449067 | − | 0.0954522i | ||||
\(193\) | 7.17505 | − | 12.4276i | 0.516472 | − | 0.894555i | −0.483345 | − | 0.875430i | \(-0.660578\pi\) |
0.999817 | − | 0.0191255i | \(-0.00608821\pi\) | |||||||
\(194\) | 1.32114 | − | 1.46728i | 0.0948525 | − | 0.105344i | ||||
\(195\) | −6.72926 | − | 6.01598i | −0.481893 | − | 0.430813i | ||||
\(196\) | 5.74604 | − | 12.4361i | 0.410431 | − | 0.888293i | ||||
\(197\) | 1.21452 | − | 3.73790i | 0.0865307 | − | 0.266314i | −0.898423 | − | 0.439130i | \(-0.855287\pi\) |
0.984954 | + | 0.172816i | \(0.0552867\pi\) | |||||||
\(198\) | 0.171027 | + | 0.0761462i | 0.0121544 | + | 0.00541148i | ||||
\(199\) | 0.931328 | − | 1.61311i | 0.0660201 | − | 0.114350i | −0.831126 | − | 0.556084i | \(-0.812303\pi\) |
0.897146 | + | 0.441734i | \(0.145637\pi\) | |||||||
\(200\) | −4.00432 | + | 0.880874i | −0.283148 | + | 0.0622872i | ||||
\(201\) | −4.07204 | − | 7.05298i | −0.287220 | − | 0.497479i | ||||
\(202\) | 0.818139 | − | 0.594413i | 0.0575641 | − | 0.0418227i | ||||
\(203\) | −21.6406 | + | 17.2758i | −1.51887 | + | 1.21252i | ||||
\(204\) | −0.544700 | + | 1.67642i | −0.0381366 | + | 0.117373i | ||||
\(205\) | −10.4045 | + | 1.13088i | −0.726684 | + | 0.0789842i | ||||
\(206\) | −1.10794 | − | 0.235499i | −0.0771936 | − | 0.0164080i | ||||
\(207\) | 3.83565 | − | 6.64354i | 0.266596 | − | 0.461758i | ||||
\(208\) | 11.1090 | − | 12.3377i | 0.770268 | − | 0.855469i | ||||
\(209\) | −0.272344 | − | 0.197869i | −0.0188384 | − | 0.0136869i | ||||
\(210\) | −0.503289 | − | 0.996184i | −0.0347302 | − | 0.0687432i | ||||
\(211\) | −3.27723 | + | 2.38105i | −0.225614 | + | 0.163918i | −0.694850 | − | 0.719155i | \(-0.744529\pi\) |
0.469236 | + | 0.883073i | \(0.344529\pi\) | |||||||
\(212\) | −1.82071 | + | 17.3229i | −0.125047 | + | 1.18974i | ||||
\(213\) | −5.25300 | + | 2.33878i | −0.359929 | + | 0.160251i | ||||
\(214\) | 0.0817175 | + | 0.777490i | 0.00558609 | + | 0.0531481i | ||||
\(215\) | 14.1909 | − | 12.8689i | 0.967810 | − | 0.877655i | ||||
\(216\) | 3.12314 | + | 2.26910i | 0.212503 | + | 0.154392i | ||||
\(217\) | −13.2347 | − | 13.4205i | −0.898427 | − | 0.911045i | ||||
\(218\) | −1.76206 | −0.119342 | ||||||||
\(219\) | 0.692757 | − | 0.769385i | 0.0468122 | − | 0.0519902i | ||||
\(220\) | 0.00645753 | + | 1.82084i | 0.000435366 | + | 0.122761i | ||||
\(221\) | −2.93539 | − | 3.26008i | −0.197456 | − | 0.219297i | ||||
\(222\) | −0.741749 | + | 0.157664i | −0.0497829 | + | 0.0105817i | ||||
\(223\) | 3.15167 | − | 2.28982i | 0.211052 | − | 0.153338i | −0.477238 | − | 0.878774i | \(-0.658362\pi\) |
0.688289 | + | 0.725436i | \(0.258362\pi\) | |||||||
\(224\) | 5.71535 | − | 2.86209i | 0.381873 | − | 0.191232i | ||||
\(225\) | −10.6346 | − | 2.18173i | −0.708971 | − | 0.145448i | ||||
\(226\) | 1.49416 | + | 2.58796i | 0.0993902 | + | 0.172149i | ||||
\(227\) | −2.57426 | − | 24.4924i | −0.170860 | − | 1.62562i | −0.658503 | − | 0.752578i | \(-0.728810\pi\) |
0.487644 | − | 0.873043i | \(-0.337857\pi\) | |||||||
\(228\) | −0.964518 | − | 1.07121i | −0.0638768 | − | 0.0709423i | ||||
\(229\) | −10.8507 | + | 2.30638i | −0.717031 | + | 0.152410i | −0.551958 | − | 0.833872i | \(-0.686119\pi\) |
−0.165073 | + | 0.986281i | \(0.552786\pi\) | |||||||
\(230\) | −1.62882 | − | 0.165358i | −0.107401 | − | 0.0109034i | ||||
\(231\) | −0.969840 | + | 0.252633i | −0.0638108 | + | 0.0166220i | ||||
\(232\) | −8.58229 | −0.563455 | ||||||||
\(233\) | 1.48994 | − | 1.65475i | 0.0976094 | − | 0.108406i | −0.692361 | − | 0.721551i | \(-0.743429\pi\) |
0.789970 | + | 0.613145i | \(0.210096\pi\) | |||||||
\(234\) | −1.82258 | + | 0.811463i | −0.119145 | + | 0.0530470i | ||||
\(235\) | 11.4241 | − | 15.8418i | 0.745226 | − | 1.03340i | ||||
\(236\) | −8.39706 | − | 3.73861i | −0.546602 | − | 0.243363i | ||||
\(237\) | 7.99357 | + | 5.80767i | 0.519238 | + | 0.377249i | ||||
\(238\) | −0.190855 | − | 0.507749i | −0.0123713 | − | 0.0329125i | ||||
\(239\) | −7.33611 | + | 5.33000i | −0.474533 | + | 0.344769i | −0.799205 | − | 0.601058i | \(-0.794746\pi\) |
0.324672 | + | 0.945827i | \(0.394746\pi\) | |||||||
\(240\) | −1.55824 | + | 7.46093i | −0.100584 | + | 0.481601i | ||||
\(241\) | −5.98379 | + | 2.66415i | −0.385450 | + | 0.171613i | −0.590307 | − | 0.807178i | \(-0.700994\pi\) |
0.204858 | + | 0.978792i | \(0.434327\pi\) | |||||||
\(242\) | 2.19460 | + | 0.466476i | 0.141074 | + | 0.0299862i | ||||
\(243\) | 8.07570 | + | 13.9875i | 0.518057 | + | 0.897301i | ||||
\(244\) | 6.28535 | + | 19.3443i | 0.402379 | + | 1.23839i | ||||
\(245\) | −14.2323 | − | 6.51480i | −0.909266 | − | 0.416215i | ||||
\(246\) | 0.272860 | − | 0.839777i | 0.0173969 | − | 0.0535422i | ||||
\(247\) | 3.50900 | − | 0.745862i | 0.223273 | − | 0.0474581i | ||||
\(248\) | −0.610637 | − | 5.80982i | −0.0387755 | − | 0.368924i | ||||
\(249\) | −3.96472 | + | 6.86710i | −0.251254 | + | 0.435185i | ||||
\(250\) | 0.505789 | + | 2.26099i | 0.0319889 | + | 0.142998i | ||||
\(251\) | −20.1724 | −1.27327 | −0.636634 | − | 0.771166i | \(-0.719674\pi\) | ||||
−0.636634 | + | 0.771166i | \(0.719674\pi\) | |||||||
\(252\) | 11.2307 | − | 0.510075i | 0.707468 | − | 0.0321317i | ||||
\(253\) | −0.454291 | + | 1.39817i | −0.0285611 | + | 0.0879019i | ||||
\(254\) | 1.93311 | − | 0.410896i | 0.121294 | − | 0.0257819i | ||||
\(255\) | 1.91761 | + | 0.615560i | 0.120085 | + | 0.0385478i | ||||
\(256\) | −12.3971 | − | 2.63509i | −0.774820 | − | 0.164693i | ||||
\(257\) | 4.54965 | + | 7.88022i | 0.283799 | + | 0.491555i | 0.972317 | − | 0.233665i | \(-0.0750717\pi\) |
−0.688518 | + | 0.725219i | \(0.741738\pi\) | |||||||
\(258\) | 0.499453 | + | 1.53716i | 0.0310946 | + | 0.0956993i | ||||
\(259\) | −6.75020 | + | 8.21797i | −0.419437 | + | 0.510640i | ||||
\(260\) | −14.4660 | − | 12.9327i | −0.897144 | − | 0.802050i | ||||
\(261\) | −20.7594 | − | 9.24270i | −1.28498 | − | 0.572109i | ||||
\(262\) | 2.97217 | − | 1.32329i | 0.183621 | − | 0.0817534i | ||||
\(263\) | −5.04678 | + | 2.24697i | −0.311198 | + | 0.138554i | −0.556392 | − | 0.830920i | \(-0.687815\pi\) |
0.245195 | + | 0.969474i | \(0.421148\pi\) | |||||||
\(264\) | −0.283764 | − | 0.126340i | −0.0174645 | − | 0.00777568i | ||||
\(265\) | 19.7998 | + | 2.01007i | 1.21629 | + | 0.123478i | ||||
\(266\) | 0.437623 | + | 0.0724444i | 0.0268324 | + | 0.00444185i | ||||
\(267\) | −0.122654 | − | 0.377491i | −0.00750632 | − | 0.0231021i | ||||
\(268\) | −8.75374 | − | 15.1619i | −0.534720 | − | 0.926162i | ||||
\(269\) | −21.2548 | − | 4.51785i | −1.29593 | − | 0.275458i | −0.492215 | − | 0.870474i | \(-0.663813\pi\) |
−0.803714 | + | 0.595016i | \(0.797146\pi\) | |||||||
\(270\) | 1.27596 | − | 1.76937i | 0.0776526 | − | 0.107681i | ||||
\(271\) | 27.8686 | − | 5.92366i | 1.69290 | − | 0.359837i | 0.742253 | − | 0.670119i | \(-0.233757\pi\) |
0.950644 | + | 0.310283i | \(0.100424\pi\) | |||||||
\(272\) | −1.14469 | + | 3.52301i | −0.0694073 | + | 0.213614i | ||||
\(273\) | 4.91491 | − | 9.48202i | 0.297464 | − | 0.573878i | ||||
\(274\) | 1.56902 | 0.0947881 | ||||||||
\(275\) | 2.08039 | − | 0.0147562i | 0.125452 | − | 0.000889833i | ||||
\(276\) | −3.14747 | + | 5.45159i | −0.189456 | + | 0.328147i | ||||
\(277\) | −1.01343 | − | 9.64213i | −0.0608910 | − | 0.579340i | −0.981847 | − | 0.189673i | \(-0.939257\pi\) |
0.920956 | − | 0.389666i | \(-0.127410\pi\) | |||||||
\(278\) | −3.79990 | + | 0.807693i | −0.227903 | + | 0.0484422i | ||||
\(279\) | 4.77984 | − | 14.7108i | 0.286161 | − | 0.880714i | ||||
\(280\) | −2.18760 | − | 4.33002i | −0.130734 | − | 0.258768i | ||||
\(281\) | 7.28220 | + | 22.4123i | 0.434419 | + | 1.33701i | 0.893680 | + | 0.448704i | \(0.148114\pi\) |
−0.459261 | + | 0.888301i | \(0.651886\pi\) | |||||||
\(282\) | 0.823921 | + | 1.42707i | 0.0490638 | + | 0.0849810i | ||||
\(283\) | 0.0528673 | + | 0.0112373i | 0.00314263 | + | 0.000667988i | 0.209483 | − | 0.977812i | \(-0.432822\pi\) |
−0.206340 | + | 0.978480i | \(0.566155\pi\) | |||||||
\(284\) | −11.2925 | + | 5.02773i | −0.670084 | + | 0.298341i | ||||
\(285\) | −1.22001 | + | 1.10636i | −0.0722671 | + | 0.0655351i | ||||
\(286\) | 0.309311 | − | 0.224728i | 0.0182900 | − | 0.0132884i | ||||
\(287\) | −4.35706 | − | 11.5915i | −0.257189 | − | 0.684224i | ||||
\(288\) | 4.24368 | + | 3.08321i | 0.250061 | + | 0.181680i | ||||
\(289\) | −14.6361 | − | 6.51640i | −0.860946 | − | 0.383318i | ||||
\(290\) | 0.0171992 | + | 4.84968i | 0.00100997 | + | 0.284783i | ||||
\(291\) | −7.92397 | + | 3.52798i | −0.464511 | + | 0.206814i | ||||
\(292\) | 1.48923 | − | 1.65396i | 0.0871508 | − | 0.0967907i | ||||
\(293\) | −14.2495 | −0.832464 | −0.416232 | − | 0.909258i | \(-0.636650\pi\) | ||||
−0.416232 | + | 0.909258i | \(0.636650\pi\) | |||||||
\(294\) | 0.993617 | − | 0.869874i | 0.0579489 | − | 0.0507321i | ||||
\(295\) | −4.23756 | + | 9.60929i | −0.246720 | + | 0.559475i | ||||
\(296\) | −3.22409 | + | 0.685301i | −0.187396 | + | 0.0398323i | ||||
\(297\) | −1.31072 | − | 1.45570i | −0.0760557 | − | 0.0844685i | ||||
\(298\) | 0.0834565 | + | 0.794035i | 0.00483450 | + | 0.0459972i | ||||
\(299\) | −7.83326 | − | 13.5676i | −0.453009 | − | 0.784634i | ||||
\(300\) | 8.72656 | + | 1.79029i | 0.503828 | + | 0.103362i | ||||
\(301\) | 18.9235 | + | 12.4775i | 1.09073 | + | 0.719192i | ||||
\(302\) | −0.524867 | + | 0.381338i | −0.0302027 | + | 0.0219435i | ||||
\(303\) | −4.34558 | + | 0.923682i | −0.249647 | + | 0.0530641i | ||||
\(304\) | −2.02695 | − | 2.25115i | −0.116253 | − | 0.129112i | ||||
\(305\) | 22.0766 | − | 7.25978i | 1.26410 | − | 0.415694i | ||||
\(306\) | 0.297859 | − | 0.330806i | 0.0170275 | − | 0.0189109i | ||||
\(307\) | 14.3638 | 0.819787 | 0.409894 | − | 0.912133i | \(-0.365566\pi\) | ||||
0.409894 | + | 0.912133i | \(0.365566\pi\) | |||||||
\(308\) | −2.08488 | + | 0.543089i | −0.118797 | + | 0.0309454i | ||||
\(309\) | 4.02571 | + | 2.92485i | 0.229015 | + | 0.166389i | ||||
\(310\) | −3.28179 | + | 0.356702i | −0.186393 | + | 0.0202593i | ||||
\(311\) | −1.76906 | − | 16.8315i | −0.100314 | − | 0.954428i | −0.922706 | − | 0.385505i | \(-0.874027\pi\) |
0.822391 | − | 0.568922i | \(-0.192639\pi\) | |||||||
\(312\) | 3.02397 | − | 1.34636i | 0.171199 | − | 0.0762225i | ||||
\(313\) | 2.94384 | − | 28.0088i | 0.166396 | − | 1.58315i | −0.518867 | − | 0.854855i | \(-0.673646\pi\) |
0.685263 | − | 0.728296i | \(-0.259687\pi\) | |||||||
\(314\) | 1.40455 | − | 1.02047i | 0.0792634 | − | 0.0575882i | ||||
\(315\) | −0.628298 | − | 12.8297i | −0.0354006 | − | 0.722871i | ||||
\(316\) | 17.1839 | + | 12.4849i | 0.966672 | + | 0.702328i | ||||
\(317\) | 2.95700 | − | 3.28408i | 0.166082 | − | 0.184452i | −0.654359 | − | 0.756184i | \(-0.727061\pi\) |
0.820441 | + | 0.571732i | \(0.193728\pi\) | |||||||
\(318\) | −0.839542 | + | 1.45413i | −0.0470792 | + | 0.0815435i | ||||
\(319\) | 4.25964 | + | 0.905414i | 0.238494 | + | 0.0506935i | ||||
\(320\) | −3.19440 | + | 15.2950i | −0.178573 | + | 0.855017i | ||||
\(321\) | 1.06130 | − | 3.26633i | 0.0592358 | − | 0.182309i | ||||
\(322\) | −0.289688 | − | 1.91537i | −0.0161437 | − | 0.106739i | ||||
\(323\) | −0.647563 | + | 0.470482i | −0.0360314 | + | 0.0261783i | ||||
\(324\) | 2.17996 | + | 3.77580i | 0.121109 | + | 0.209767i | ||||
\(325\) | −14.7177 | + | 16.5807i | −0.816392 | + | 0.919731i | ||||
\(326\) | −1.66492 | + | 2.88373i | −0.0922116 | + | 0.159715i | ||||
\(327\) | 7.07173 | + | 3.14854i | 0.391068 | + | 0.174115i | ||||
\(328\) | 1.18602 | − | 3.65018i | 0.0654868 | − | 0.201548i | ||||
\(329\) | 21.5165 | + | 8.43203i | 1.18624 | + | 0.464873i | ||||
\(330\) | −0.0708235 | + | 0.160603i | −0.00389870 | + | 0.00884088i | ||||
\(331\) | 9.76959 | − | 10.8502i | 0.536985 | − | 0.596382i | −0.412203 | − | 0.911092i | \(-0.635241\pi\) |
0.949188 | + | 0.314710i | \(0.101907\pi\) | |||||||
\(332\) | −8.52304 | + | 14.7623i | −0.467762 | + | 0.810188i | ||||
\(333\) | −8.53668 | − | 1.81453i | −0.467807 | − | 0.0994355i | ||||
\(334\) | −0.139305 | + | 1.32540i | −0.00762244 | + | 0.0725227i | ||||
\(335\) | −17.2879 | + | 10.0631i | −0.944541 | + | 0.549806i | ||||
\(336\) | −9.00908 | + | 0.409174i | −0.491486 | + | 0.0223222i | ||||
\(337\) | −19.8845 | − | 14.4469i | −1.08318 | − | 0.786975i | −0.104944 | − | 0.994478i | \(-0.533466\pi\) |
−0.978234 | + | 0.207503i | \(0.933466\pi\) | |||||||
\(338\) | −0.144290 | + | 1.37283i | −0.00784835 | + | 0.0746720i | ||||
\(339\) | −1.37226 | − | 13.0562i | −0.0745309 | − | 0.709114i | ||||
\(340\) | 4.12232 | + | 1.32328i | 0.223564 | + | 0.0717649i | ||||
\(341\) | −0.309848 | + | 2.94800i | −0.0167792 | + | 0.159643i | ||||
\(342\) | 0.112488 | + | 0.346203i | 0.00608266 | + | 0.0187205i | ||||
\(343\) | 3.27921 | − | 18.2276i | 0.177061 | − | 0.984200i | ||||
\(344\) | 2.17093 | + | 6.68142i | 0.117048 | + | 0.360238i | ||||
\(345\) | 6.24152 | + | 3.57409i | 0.336032 | + | 0.192422i | ||||
\(346\) | 3.40139 | + | 3.77763i | 0.182860 | + | 0.203087i | ||||
\(347\) | 18.0656 | + | 20.0639i | 0.969814 | + | 1.07709i | 0.996996 | + | 0.0774575i | \(0.0246802\pi\) |
−0.0271812 | + | 0.999631i | \(0.508653\pi\) | |||||||
\(348\) | 17.0349 | + | 7.58441i | 0.913165 | + | 0.406567i | ||||
\(349\) | 4.22183 | 0.225989 | 0.112995 | − | 0.993596i | \(-0.463956\pi\) | ||||
0.112995 | + | 0.993596i | \(0.463956\pi\) | |||||||
\(350\) | −2.44243 | + | 1.24485i | −0.130553 | + | 0.0665398i | ||||
\(351\) | 20.8747 | 1.11421 | ||||||||
\(352\) | −0.918329 | − | 0.408866i | −0.0489471 | − | 0.0217927i | ||||
\(353\) | 14.1604 | + | 15.7267i | 0.753679 | + | 0.837046i | 0.990927 | − | 0.134404i | \(-0.0429118\pi\) |
−0.237247 | + | 0.971449i | \(0.576245\pi\) | |||||||
\(354\) | −0.592890 | − | 0.658471i | −0.0315118 | − | 0.0349974i | ||||
\(355\) | 5.79024 | + | 12.8819i | 0.307314 | + | 0.683702i | ||||
\(356\) | −0.263672 | − | 0.811499i | −0.0139746 | − | 0.0430094i | ||||
\(357\) | −0.141307 | + | 2.37879i | −0.00747874 | + | 0.125899i | ||||
\(358\) | 1.42329 | + | 4.38044i | 0.0752233 | + | 0.231513i | ||||
\(359\) | 1.42018 | − | 13.5122i | 0.0749545 | − | 0.713144i | −0.890925 | − | 0.454151i | \(-0.849943\pi\) |
0.965879 | − | 0.258993i | \(-0.0833907\pi\) | |||||||
\(360\) | 2.32862 | − | 3.22909i | 0.122729 | − | 0.170188i | ||||
\(361\) | 1.91762 | + | 18.2449i | 0.100927 | + | 0.960260i | ||||
\(362\) | 0.469087 | − | 4.46307i | 0.0246547 | − | 0.234574i | ||||
\(363\) | −7.97411 | − | 5.79353i | −0.418532 | − | 0.304082i | ||||
\(364\) | 10.5657 | − | 20.3837i | 0.553792 | − | 1.06839i | ||||
\(365\) | −1.89578 | − | 1.69484i | −0.0992298 | − | 0.0887117i | ||||
\(366\) | −0.204950 | + | 1.94997i | −0.0107129 | + | 0.101927i | ||||
\(367\) | 5.04850 | + | 1.07309i | 0.263530 | + | 0.0560150i | 0.337781 | − | 0.941225i | \(-0.390324\pi\) |
−0.0742518 | + | 0.997240i | \(0.523657\pi\) | |||||||
\(368\) | −6.61446 | + | 11.4566i | −0.344802 | + | 0.597215i | ||||
\(369\) | 6.79988 | − | 7.55203i | 0.353987 | − | 0.393143i | ||||
\(370\) | 0.393711 | + | 1.82050i | 0.0204681 | + | 0.0946431i | ||||
\(371\) | 3.52143 | + | 23.2831i | 0.182823 | + | 1.20880i | ||||
\(372\) | −3.92226 | + | 12.0715i | −0.203360 | + | 0.625876i | ||||
\(373\) | 1.94247 | + | 0.864842i | 0.100577 | + | 0.0447798i | 0.456408 | − | 0.889770i | \(-0.349136\pi\) |
−0.355831 | + | 0.934550i | \(0.615802\pi\) | |||||||
\(374\) | −0.0426533 | + | 0.0738777i | −0.00220555 | + | 0.00382013i | ||||
\(375\) | 2.01015 | − | 9.97787i | 0.103804 | − | 0.515255i | ||||
\(376\) | 3.58126 | + | 6.20293i | 0.184689 | + | 0.319892i | ||||
\(377\) | −37.5445 | + | 27.2777i | −1.93364 | + | 1.40487i | ||||
\(378\) | 2.40319 | + | 0.941777i | 0.123607 | + | 0.0484398i | ||||
\(379\) | 1.35028 | − | 4.15574i | 0.0693593 | − | 0.213466i | −0.910369 | − | 0.413798i | \(-0.864202\pi\) |
0.979728 | + | 0.200332i | \(0.0642020\pi\) | |||||||
\(380\) | −2.62267 | + | 2.37836i | −0.134540 | + | 0.122007i | ||||
\(381\) | −8.49242 | − | 1.80512i | −0.435080 | − | 0.0924791i | ||||
\(382\) | −0.765755 | + | 1.32633i | −0.0391794 | + | 0.0678608i | ||||
\(383\) | 8.38623 | − | 9.31386i | 0.428517 | − | 0.475916i | −0.489759 | − | 0.871858i | \(-0.662915\pi\) |
0.918275 | + | 0.395942i | \(0.129582\pi\) | |||||||
\(384\) | −4.62521 | − | 3.36041i | −0.236029 | − | 0.171485i | ||||
\(385\) | 0.628960 | + | 2.37990i | 0.0320548 | + | 0.121291i | ||||
\(386\) | 2.40581 | − | 1.74792i | 0.122452 | − | 0.0889668i | ||||
\(387\) | −1.94437 | + | 18.4995i | −0.0988379 | + | 0.940380i | ||||
\(388\) | −17.0343 | + | 7.58416i | −0.864786 | + | 0.385027i | ||||
\(389\) | 3.16467 | + | 30.1098i | 0.160455 | + | 1.52663i | 0.717743 | + | 0.696308i | \(0.245175\pi\) |
−0.557288 | + | 0.830319i | \(0.688158\pi\) | |||||||
\(390\) | −0.766860 | − | 1.70609i | −0.0388315 | − | 0.0863911i | ||||
\(391\) | 2.82797 | + | 2.05464i | 0.143017 | + | 0.103908i | ||||
\(392\) | 4.31886 | − | 3.78100i | 0.218135 | − | 0.190969i | ||||
\(393\) | −14.2928 | −0.720976 | ||||||||
\(394\) | 0.544979 | − | 0.605260i | 0.0274556 | − | 0.0304926i | ||||
\(395\) | 14.1951 | − | 19.6843i | 0.714231 | − | 0.990422i | ||||
\(396\) | −1.18305 | − | 1.31391i | −0.0594503 | − | 0.0660262i | ||||
\(397\) | −7.44201 | + | 1.58185i | −0.373504 | + | 0.0793907i | −0.390839 | − | 0.920459i | \(-0.627815\pi\) |
0.0173353 | + | 0.999850i | \(0.494482\pi\) | |||||||
\(398\) | 0.312276 | − | 0.226882i | 0.0156530 | − | 0.0113725i | ||||
\(399\) | −1.62688 | − | 1.07271i | −0.0814457 | − | 0.0537026i | ||||
\(400\) | 18.3390 | + | 3.76232i | 0.916949 | + | 0.188116i | ||||
\(401\) | −14.2153 | − | 24.6216i | −0.709877 | − | 1.22954i | −0.964902 | − | 0.262609i | \(-0.915417\pi\) |
0.255025 | − | 0.966934i | \(-0.417916\pi\) | |||||||
\(402\) | −0.176411 | − | 1.67843i | −0.00879856 | − | 0.0837127i | ||||
\(403\) | −21.1371 | − | 23.4751i | −1.05291 | − | 1.16938i | ||||
\(404\) | −9.34178 | + | 1.98566i | −0.464771 | + | 0.0987901i | ||||
\(405\) | 4.30524 | − | 2.50603i | 0.213929 | − | 0.124526i | ||||
\(406\) | −5.55295 | + | 1.44648i | −0.275589 | + | 0.0717878i | ||||
\(407\) | 1.67251 | 0.0829031 | ||||||||
\(408\) | −0.494200 | + | 0.548865i | −0.0244666 | + | 0.0271729i | ||||
\(409\) | 21.3967 | − | 9.52642i | 1.05800 | − | 0.471051i | 0.197393 | − | 0.980324i | \(-0.436752\pi\) |
0.860605 | + | 0.509273i | \(0.170086\pi\) | |||||||
\(410\) | −2.06502 | − | 0.662879i | −0.101984 | − | 0.0327372i | ||||
\(411\) | −6.29699 | − | 2.80360i | −0.310608 | − | 0.138292i | ||||
\(412\) | 8.65414 | + | 6.28760i | 0.426359 | + | 0.309768i | ||||
\(413\) | −12.2595 | − | 2.02944i | −0.603250 | − | 0.0998623i | ||||
\(414\) | 1.28610 | − | 0.934406i | 0.0632083 | − | 0.0459236i | ||||
\(415\) | 16.9014 | + | 9.67826i | 0.829656 | + | 0.475087i | ||||
\(416\) | 9.78630 | − | 4.35714i | 0.479813 | − | 0.213626i | ||||
\(417\) | 16.6934 | + | 3.54830i | 0.817482 | + | 0.173761i | ||||
\(418\) | −0.0348801 | − | 0.0604140i | −0.00170604 | − | 0.00295495i | ||||
\(419\) | −6.93497 | − | 21.3436i | −0.338795 | − | 1.04271i | −0.964822 | − | 0.262904i | \(-0.915320\pi\) |
0.626027 | − | 0.779802i | \(-0.284680\pi\) | |||||||
\(420\) | 0.515572 | + | 10.5278i | 0.0251573 | + | 0.513706i | ||||
\(421\) | −2.99967 | + | 9.23202i | −0.146195 | + | 0.449941i | −0.997163 | − | 0.0752764i | \(-0.976016\pi\) |
0.850968 | + | 0.525218i | \(0.176016\pi\) | |||||||
\(422\) | −0.821110 | + | 0.174532i | −0.0399710 | + | 0.00849610i | ||||
\(423\) | 1.98236 | + | 18.8609i | 0.0963857 | + | 0.917048i | ||||
\(424\) | −3.64916 | + | 6.32053i | −0.177219 | + | 0.306952i | ||||
\(425\) | 1.49522 | − | 4.71536i | 0.0725289 | − | 0.228729i | ||||
\(426\) | −1.19158 | −0.0577324 | ||||||||
\(427\) | 14.8150 | + | 23.1652i | 0.716950 | + | 1.12104i | ||||
\(428\) | 2.28149 | − | 7.02170i | 0.110280 | − | 0.339407i | ||||
\(429\) | −1.64292 | + | 0.349214i | −0.0793210 | + | 0.0168602i | ||||
\(430\) | 3.77119 | − | 1.24014i | 0.181863 | − | 0.0598047i | ||||
\(431\) | 22.0134 | + | 4.67909i | 1.06035 | + | 0.225384i | 0.704896 | − | 0.709311i | \(-0.250994\pi\) |
0.355452 | + | 0.934695i | \(0.384327\pi\) | |||||||
\(432\) | −8.81336 | − | 15.2652i | −0.424033 | − | 0.734446i | ||||
\(433\) | −4.23849 | − | 13.0447i | −0.203689 | − | 0.626890i | −0.999765 | − | 0.0216929i | \(-0.993094\pi\) |
0.796076 | − | 0.605197i | \(-0.206906\pi\) | |||||||
\(434\) | −1.37430 | − | 3.65618i | −0.0659686 | − | 0.175502i | ||||
\(435\) | 8.59662 | − | 19.4941i | 0.412176 | − | 0.934670i | ||||
\(436\) | 15.2022 | + | 6.76847i | 0.728055 | + | 0.324151i | ||||
\(437\) | −2.61139 | + | 1.16266i | −0.124920 | + | 0.0556178i | ||||
\(438\) | 0.195996 | − | 0.0872632i | 0.00936507 | − | 0.00416960i | ||||
\(439\) | −13.5339 | − | 6.02566i | −0.645936 | − | 0.287589i | 0.0575024 | − | 0.998345i | \(-0.481686\pi\) |
−0.703439 | + | 0.710756i | \(0.748353\pi\) | |||||||
\(440\) | −0.307842 | + | 0.698076i | −0.0146758 | + | 0.0332795i | ||||
\(441\) | 14.5187 | − | 4.49455i | 0.691367 | − | 0.214026i | ||||
\(442\) | −0.280922 | − | 0.864588i | −0.0133621 | − | 0.0411243i | ||||
\(443\) | 8.88481 | + | 15.3889i | 0.422130 | + | 0.731150i | 0.996148 | − | 0.0876925i | \(-0.0279493\pi\) |
−0.574018 | + | 0.818843i | \(0.694616\pi\) | |||||||
\(444\) | 7.00507 | + | 1.48897i | 0.332446 | + | 0.0706635i | ||||
\(445\) | −0.926118 | + | 0.304549i | −0.0439022 | + | 0.0144370i | ||||
\(446\) | 0.789652 | − | 0.167846i | 0.0373911 | − | 0.00794773i | ||||
\(447\) | 1.08388 | − | 3.33585i | 0.0512658 | − | 0.157780i | ||||
\(448\) | −18.4687 | + | 0.838811i | −0.872566 | + | 0.0396301i | ||||
\(449\) | 39.6178 | 1.86968 | 0.934840 | − | 0.355070i | \(-0.115543\pi\) | ||||
0.934840 | + | 0.355070i | \(0.115543\pi\) | |||||||
\(450\) | −1.82936 | − | 1.30938i | −0.0862368 | − | 0.0617250i | ||||
\(451\) | −0.973740 | + | 1.68657i | −0.0458516 | + | 0.0794174i | ||||
\(452\) | −2.94997 | − | 28.0671i | −0.138755 | − | 1.32017i | ||||
\(453\) | 2.78785 | − | 0.592576i | 0.130985 | − | 0.0278417i | ||||
\(454\) | 1.57706 | − | 4.85369i | 0.0740150 | − | 0.227795i | ||||
\(455\) | −23.3324 | − | 11.9893i | −1.09384 | − | 0.562068i | ||||
\(456\) | −0.186637 | − | 0.574411i | −0.00874010 | − | 0.0268992i | ||||
\(457\) | −20.0074 | − | 34.6539i | −0.935907 | − | 1.62104i | −0.773008 | − | 0.634397i | \(-0.781249\pi\) |
−0.162900 | − | 0.986643i | \(-0.552085\pi\) | |||||||
\(458\) | −2.24856 | − | 0.477945i | −0.105068 | − | 0.0223329i | ||||
\(459\) | −4.25495 | + | 1.89443i | −0.198604 | + | 0.0884242i | ||||
\(460\) | 13.4175 | + | 7.68328i | 0.625594 | + | 0.358235i | ||||
\(461\) | −2.70481 | + | 1.96516i | −0.125975 | + | 0.0915265i | −0.648989 | − | 0.760798i | \(-0.724808\pi\) |
0.523013 | + | 0.852324i | \(0.324808\pi\) | |||||||
\(462\) | −0.204896 | − | 0.0339186i | −0.00953262 | − | 0.00157804i | ||||
\(463\) | 6.80036 | + | 4.94075i | 0.316040 | + | 0.229616i | 0.734484 | − | 0.678626i | \(-0.237424\pi\) |
−0.418444 | + | 0.908243i | \(0.637424\pi\) | |||||||
\(464\) | 35.7990 | + | 15.9387i | 1.66193 | + | 0.739937i | ||||
\(465\) | 13.8083 | + | 4.43250i | 0.640343 | + | 0.205552i | ||||
\(466\) | 0.421538 | − | 0.187681i | 0.0195274 | − | 0.00869414i | ||||
\(467\) | −24.9036 | + | 27.6582i | −1.15240 | + | 1.27987i | −0.198381 | + | 0.980125i | \(0.563568\pi\) |
−0.954019 | + | 0.299745i | \(0.903098\pi\) | |||||||
\(468\) | 18.8413 | 0.870939 | ||||||||
\(469\) | −16.6190 | − | 16.8524i | −0.767394 | − | 0.778172i | ||||
\(470\) | 3.49797 | − | 2.03613i | 0.161349 | − | 0.0939197i | ||||
\(471\) | −7.46033 | + | 1.58574i | −0.343754 | + | 0.0730672i | ||||
\(472\) | −2.57706 | − | 2.86212i | −0.118619 | − | 0.131740i | ||||
\(473\) | −0.372617 | − | 3.54521i | −0.0171329 | − | 0.163009i | ||||
\(474\) | 1.02377 | + | 1.77322i | 0.0470232 | + | 0.0814465i | ||||
\(475\) | 2.72805 | + | 2.98692i | 0.125171 | + | 0.137049i | ||||
\(476\) | −0.303770 | + | 5.11373i | −0.0139233 | + | 0.234387i | ||||
\(477\) | −15.6337 | + | 11.3586i | −0.715819 | + | 0.520073i | ||||
\(478\) | −1.83806 | + | 0.390692i | −0.0840710 | + | 0.0178699i | ||||
\(479\) | −22.5613 | − | 25.0568i | −1.03085 | − | 1.14487i | −0.989323 | − | 0.145738i | \(-0.953444\pi\) |
−0.0415268 | − | 0.999137i | \(-0.513222\pi\) | |||||||
\(480\) | −2.87661 | + | 3.98898i | −0.131299 | + | 0.182071i | ||||
\(481\) | −11.9261 | + | 13.2453i | −0.543784 | + | 0.603933i | ||||
\(482\) | −1.35736 | −0.0618259 | ||||||||
\(483\) | −2.25986 | + | 8.20463i | −0.102827 | + | 0.373323i | ||||
\(484\) | −17.1421 | − | 12.4545i | −0.779186 | − | 0.566112i | ||||
\(485\) | 8.73438 | + | 19.4320i | 0.396608 | + | 0.882361i | ||||
\(486\) | 0.349859 | + | 3.32868i | 0.0158699 | + | 0.150992i | ||||
\(487\) | −30.4127 | + | 13.5406i | −1.37813 | + | 0.613584i | −0.956112 | − | 0.293002i | \(-0.905346\pi\) |
−0.422020 | + | 0.906586i | \(0.638679\pi\) | |||||||
\(488\) | −0.890838 | + | 8.47576i | −0.0403263 | + | 0.383679i | ||||
\(489\) | 11.8347 | − | 8.59839i | 0.535182 | − | 0.388833i | ||||
\(490\) | −2.14522 | − | 2.43293i | −0.0969114 | − | 0.109908i | ||||
\(491\) | −7.59600 | − | 5.51882i | −0.342803 | − | 0.249061i | 0.403041 | − | 0.915182i | \(-0.367953\pi\) |
−0.745843 | + | 0.666121i | \(0.767953\pi\) | |||||||
\(492\) | −5.57987 | + | 6.19707i | −0.251560 | + | 0.279386i | ||||
\(493\) | 5.17730 | − | 8.96735i | 0.233174 | − | 0.403869i | ||||
\(494\) | 0.727163 | + | 0.154563i | 0.0327166 | + | 0.00695413i | ||||
\(495\) | −1.49642 | + | 1.35702i | −0.0672591 | + | 0.0609937i | ||||
\(496\) | −8.24267 | + | 25.3683i | −0.370107 | + | 1.13907i | ||||
\(497\) | −13.0600 | + | 10.4258i | −0.585819 | + | 0.467661i | ||||
\(498\) | −1.32938 | + | 0.965849i | −0.0595708 | + | 0.0432807i | ||||
\(499\) | 2.82284 | + | 4.88930i | 0.126368 | + | 0.218875i | 0.922267 | − | 0.386554i | \(-0.126335\pi\) |
−0.795899 | + | 0.605429i | \(0.793001\pi\) | |||||||
\(500\) | 4.32126 | − | 21.4496i | 0.193253 | − | 0.959255i | ||||
\(501\) | 2.92736 | − | 5.07034i | 0.130785 | − | 0.226526i | ||||
\(502\) | −3.81887 | − | 1.70027i | −0.170444 | − | 0.0758867i | ||||
\(503\) | −2.57516 | + | 7.92552i | −0.114821 | + | 0.353381i | −0.991910 | − | 0.126947i | \(-0.959482\pi\) |
0.877089 | + | 0.480328i | \(0.159482\pi\) | |||||||
\(504\) | 4.38580 | + | 1.71873i | 0.195359 | + | 0.0765585i | ||||
\(505\) | 2.30658 | + | 10.6655i | 0.102642 | + | 0.474608i | ||||
\(506\) | −0.203850 | + | 0.226398i | −0.00906224 | + | 0.0100646i | ||||
\(507\) | 3.03212 | − | 5.25178i | 0.134661 | − | 0.233240i | ||||
\(508\) | −18.2563 | − | 3.88050i | −0.809993 | − | 0.172169i | ||||
\(509\) | 0.159843 | − | 1.52080i | 0.00708491 | − | 0.0674085i | −0.990408 | − | 0.138173i | \(-0.955877\pi\) |
0.997493 | + | 0.0707642i | \(0.0225438\pi\) | |||||||
\(510\) | 0.311143 | + | 0.278163i | 0.0137776 | + | 0.0123173i | ||||
\(511\) | 1.38464 | − | 2.67129i | 0.0612529 | − | 0.118171i | ||||
\(512\) | −12.2859 | − | 8.92623i | −0.542965 | − | 0.394487i | ||||
\(513\) | 0.398128 | − | 3.78794i | 0.0175778 | − | 0.167242i | ||||
\(514\) | 0.197102 | + | 1.87530i | 0.00869378 | + | 0.0827158i | ||||
\(515\) | 7.14889 | − | 9.91335i | 0.315018 | − | 0.436834i | ||||
\(516\) | 1.59552 | − | 15.1804i | 0.0702389 | − | 0.668278i | ||||
\(517\) | −1.12309 | − | 3.45651i | −0.0493933 | − | 0.152017i | ||||
\(518\) | −1.97056 | + | 0.986804i | −0.0865815 | + | 0.0433577i | ||||
\(519\) | −6.90084 | − | 21.2386i | −0.302913 | − | 0.932272i | ||||
\(520\) | −3.33324 | − | 7.41569i | −0.146172 | − | 0.325200i | ||||
\(521\) | −5.30980 | − | 5.89714i | −0.232627 | − | 0.258358i | 0.615518 | − | 0.788123i | \(-0.288947\pi\) |
−0.848145 | + | 0.529765i | \(0.822280\pi\) | |||||||
\(522\) | −3.15097 | − | 3.49951i | −0.137914 | − | 0.153169i | ||||
\(523\) | −19.5716 | − | 8.71382i | −0.855804 | − | 0.381029i | −0.0685429 | − | 0.997648i | \(-0.521835\pi\) |
−0.787261 | + | 0.616620i | \(0.788502\pi\) | |||||||
\(524\) | −30.7255 | −1.34225 | ||||||||
\(525\) | 12.0266 | − | 0.631731i | 0.524884 | − | 0.0275710i | ||||
\(526\) | −1.14481 | −0.0499159 | ||||||||
\(527\) | 6.43885 | + | 2.86676i | 0.280481 | + | 0.124878i | ||||
\(528\) | 0.949019 | + | 1.05399i | 0.0413008 | + | 0.0458692i | ||||
\(529\) | −7.03696 | − | 7.81533i | −0.305955 | − | 0.339797i | ||||
\(530\) | 3.57892 | + | 2.04940i | 0.155458 | + | 0.0890202i | ||||
\(531\) | −3.15122 | − | 9.69845i | −0.136751 | − | 0.420877i | ||||
\(532\) | −3.49733 | − | 2.30602i | −0.151628 | − | 0.0999787i | ||||
\(533\) | −6.41321 | − | 19.7378i | −0.277787 | − | 0.854941i | ||||
\(534\) | 0.00859771 | − | 0.0818017i | 0.000372059 | − | 0.00353991i | ||||
\(535\) | −8.03195 | − | 2.57828i | −0.347252 | − | 0.111469i | ||||
\(536\) | −0.766788 | − | 7.29550i | −0.0331202 | − | 0.315117i | ||||
\(537\) | 2.11505 | − | 20.1233i | 0.0912710 | − | 0.868386i | ||||
\(538\) | −3.64299 | − | 2.64679i | −0.157061 | − | 0.114111i | ||||
\(539\) | −2.54246 | + | 1.42099i | −0.109512 | + | 0.0612063i | ||||
\(540\) | −17.8049 | + | 10.3640i | −0.766202 | + | 0.445998i | ||||
\(541\) | −2.44884 | + | 23.2992i | −0.105284 | + | 1.00171i | 0.806554 | + | 0.591160i | \(0.201330\pi\) |
−0.911838 | + | 0.410550i | \(0.865337\pi\) | |||||||
\(542\) | 5.77515 | + | 1.22755i | 0.248064 | + | 0.0527276i | ||||
\(543\) | −9.85742 | + | 17.0736i | −0.423022 | + | 0.732696i | ||||
\(544\) | −1.59935 | + | 1.77626i | −0.0685716 | + | 0.0761565i | ||||
\(545\) | 7.67178 | − | 17.3969i | 0.328623 | − | 0.745200i | ||||
\(546\) | 1.72966 | − | 1.38080i | 0.0740228 | − | 0.0590926i | ||||
\(547\) | 10.3509 | − | 31.8566i | 0.442570 | − | 1.36209i | −0.442556 | − | 0.896741i | \(-0.645928\pi\) |
0.885126 | − | 0.465351i | \(-0.154072\pi\) | |||||||
\(548\) | −13.5368 | − | 6.02696i | −0.578262 | − | 0.257459i | ||||
\(549\) | −11.2828 | + | 19.5423i | −0.481537 | + | 0.834047i | ||||
\(550\) | 0.395086 | + | 0.172556i | 0.0168465 | + | 0.00735783i | ||||
\(551\) | 4.23377 | + | 7.33311i | 0.180365 | + | 0.312401i | ||||
\(552\) | −2.13386 | + | 1.55034i | −0.0908233 | + | 0.0659870i | ||||
\(553\) | 26.7355 | + | 10.4773i | 1.13691 | + | 0.445538i | ||||
\(554\) | 0.620853 | − | 1.91079i | 0.0263775 | − | 0.0811817i | ||||
\(555\) | 1.67286 | − | 8.00974i | 0.0710088 | − | 0.339995i | ||||
\(556\) | 35.8862 | + | 7.62785i | 1.52191 | + | 0.323493i | ||||
\(557\) | −3.65981 | + | 6.33898i | −0.155071 | + | 0.268591i | −0.933085 | − | 0.359656i | \(-0.882894\pi\) |
0.778014 | + | 0.628247i | \(0.216227\pi\) | |||||||
\(558\) | 2.14481 | − | 2.38206i | 0.0907971 | − | 0.100840i | ||||
\(559\) | 30.7330 | + | 22.3289i | 1.29987 | + | 0.944410i | ||||
\(560\) | 1.08348 | + | 22.1244i | 0.0457854 | + | 0.934926i | ||||
\(561\) | 0.303190 | − | 0.220280i | 0.0128007 | − | 0.00930024i | ||||
\(562\) | −0.510461 | + | 4.85671i | −0.0215325 | + | 0.204868i | ||||
\(563\) | 1.99757 | − | 0.889376i | 0.0841876 | − | 0.0374827i | −0.364211 | − | 0.931317i | \(-0.618661\pi\) |
0.448398 | + | 0.893834i | \(0.351995\pi\) | |||||||
\(564\) | −1.62669 | − | 15.4770i | −0.0684962 | − | 0.651697i | ||||
\(565\) | −32.0564 | + | 3.48425i | −1.34862 | + | 0.146583i | ||||
\(566\) | 0.00906125 | + | 0.00658339i | 0.000380873 | + | 0.000276720i | ||||
\(567\) | 4.13866 | + | 4.19678i | 0.173807 | + | 0.176248i | ||||
\(568\) | −5.17935 | −0.217321 | ||||||||
\(569\) | −7.42902 | + | 8.25076i | −0.311441 | + | 0.345890i | −0.878461 | − | 0.477814i | \(-0.841429\pi\) |
0.567020 | + | 0.823704i | \(0.308096\pi\) | |||||||
\(570\) | −0.324214 | + | 0.106616i | −0.0135798 | + | 0.00446566i | ||||
\(571\) | −22.0132 | − | 24.4482i | −0.921225 | − | 1.02312i | −0.999657 | − | 0.0262043i | \(-0.991658\pi\) |
0.0784318 | − | 0.996919i | \(-0.475009\pi\) | |||||||
\(572\) | −3.53182 | + | 0.750711i | −0.147673 | + | 0.0313888i | ||||
\(573\) | 5.44316 | − | 3.95469i | 0.227391 | − | 0.165210i | ||||
\(574\) | 0.152169 | − | 2.56165i | 0.00635142 | − | 0.106921i | ||||
\(575\) | 8.72424 | − | 15.3614i | 0.363826 | − | 0.640616i | ||||
\(576\) | −7.58591 | − | 13.1392i | −0.316080 | − | 0.547466i | ||||
\(577\) | 3.29928 | + | 31.3906i | 0.137351 | + | 1.30681i | 0.818434 | + | 0.574600i | \(0.194842\pi\) |
−0.681083 | + | 0.732206i | \(0.738491\pi\) | |||||||
\(578\) | −2.22154 | − | 2.46727i | −0.0924037 | − | 0.102625i | ||||
\(579\) | −12.7785 | + | 2.71616i | −0.531058 | + | 0.112880i | ||||
\(580\) | 18.4803 | − | 41.9068i | 0.767353 | − | 1.74008i | ||||
\(581\) | −6.11946 | + | 22.2173i | −0.253878 | + | 0.921728i | ||||
\(582\) | −1.79747 | −0.0745073 | ||||||||
\(583\) | 2.47798 | − | 2.75208i | 0.102628 | − | 0.113980i | ||||
\(584\) | 0.851920 | − | 0.379299i | 0.0352527 | − | 0.0156955i | ||||
\(585\) | −0.0763458 | − | 21.5273i | −0.00315651 | − | 0.890045i | ||||
\(586\) | −2.69760 | − | 1.20105i | −0.111437 | − | 0.0496148i | ||||
\(587\) | 28.9283 | + | 21.0176i | 1.19400 | + | 0.867491i | 0.993681 | − | 0.112240i | \(-0.0358025\pi\) |
0.200318 | + | 0.979731i | \(0.435803\pi\) | |||||||
\(588\) | −11.9138 | + | 3.68816i | −0.491318 | + | 0.152097i | ||||
\(589\) | −4.66295 | + | 3.38783i | −0.192133 | + | 0.139593i | ||||
\(590\) | −1.61216 | + | 1.46198i | −0.0663716 | + | 0.0601888i | ||||
\(591\) | −3.26868 | + | 1.45531i | −0.134456 | + | 0.0598635i | ||||
\(592\) | 14.7212 | + | 3.12909i | 0.605039 | + | 0.128605i | ||||
\(593\) | −3.15531 | − | 5.46516i | −0.129573 | − | 0.224427i | 0.793938 | − | 0.607999i | \(-0.208027\pi\) |
−0.923511 | + | 0.383571i | \(0.874694\pi\) | |||||||
\(594\) | −0.125438 | − | 0.386059i | −0.00514679 | − | 0.0158402i | ||||
\(595\) | 5.84397 | + | 0.326354i | 0.239579 | + | 0.0133792i | ||||
\(596\) | 2.33004 | − | 7.17113i | 0.0954422 | − | 0.293741i | ||||
\(597\) | −1.65867 | + | 0.352560i | −0.0678847 | + | 0.0144293i | ||||
\(598\) | −0.339355 | − | 3.22875i | −0.0138773 | − | 0.132033i | ||||
\(599\) | 8.84084 | − | 15.3128i | 0.361227 | − | 0.625663i | −0.626936 | − | 0.779071i | \(-0.715691\pi\) |
0.988163 | + | 0.153407i | \(0.0490246\pi\) | |||||||
\(600\) | 3.03523 | + | 2.17250i | 0.123913 | + | 0.0886918i | ||||
\(601\) | −10.9035 | −0.444763 | −0.222382 | − | 0.974960i | \(-0.571383\pi\) | ||||
−0.222382 | + | 0.974960i | \(0.571383\pi\) | |||||||
\(602\) | 2.53075 | + | 3.95715i | 0.103146 | + | 0.161281i | ||||
\(603\) | 6.00212 | − | 18.4726i | 0.244425 | − | 0.752264i | ||||
\(604\) | 5.99310 | − | 1.27387i | 0.243856 | − | 0.0518331i | ||||
\(605\) | −14.1605 | + | 19.6363i | −0.575706 | + | 0.798331i | ||||
\(606\) | −0.900525 | − | 0.191413i | −0.0365813 | − | 0.00777560i | ||||
\(607\) | 13.8429 | + | 23.9766i | 0.561867 | + | 0.973182i | 0.997334 | + | 0.0729773i | \(0.0232501\pi\) |
−0.435467 | + | 0.900205i | \(0.643417\pi\) | |||||||
\(608\) | −0.604004 | − | 1.85893i | −0.0244956 | − | 0.0753897i | ||||
\(609\) | 24.8705 | + | 4.11707i | 1.00780 | + | 0.166832i | ||||
\(610\) | 4.79127 | + | 0.486409i | 0.193993 | + | 0.0196941i | ||||
\(611\) | 35.3819 | + | 15.7530i | 1.43140 | + | 0.637300i | ||||
\(612\) | −3.84048 | + | 1.70989i | −0.155242 | + | 0.0691183i | ||||
\(613\) | 24.2190 | − | 10.7830i | 0.978195 | − | 0.435520i | 0.145564 | − | 0.989349i | \(-0.453500\pi\) |
0.832631 | + | 0.553829i | \(0.186834\pi\) | |||||||
\(614\) | 2.71925 | + | 1.21069i | 0.109740 | + | 0.0488593i | ||||
\(615\) | 7.10314 | + | 6.35022i | 0.286426 | + | 0.256066i | ||||
\(616\) | −0.890602 | − | 0.147431i | −0.0358834 | − | 0.00594016i | ||||
\(617\) | 5.03381 | + | 15.4925i | 0.202654 | + | 0.623704i | 0.999802 | + | 0.0199197i | \(0.00634105\pi\) |
−0.797148 | + | 0.603784i | \(0.793659\pi\) | |||||||
\(618\) | 0.515588 | + | 0.893024i | 0.0207400 | + | 0.0359227i | ||||
\(619\) | 31.8758 | + | 6.77542i | 1.28120 | + | 0.272327i | 0.797719 | − | 0.603029i | \(-0.206040\pi\) |
0.483479 | + | 0.875356i | \(0.339373\pi\) | |||||||
\(620\) | 29.6839 | + | 9.52862i | 1.19213 | + | 0.382679i | ||||
\(621\) | −16.2699 | + | 3.45828i | −0.652890 | + | 0.138776i | ||||
\(622\) | 1.08377 | − | 3.33552i | 0.0434554 | − | 0.133742i | ||||
\(623\) | −0.621494 | − | 0.971786i | −0.0248996 | − | 0.0389338i | ||||
\(624\) | −15.1142 | −0.605051 | ||||||||
\(625\) | −24.5250 | − | 4.85039i | −0.980998 | − | 0.194015i | ||||
\(626\) | 2.91809 | − | 5.05427i | 0.116630 | − | 0.202009i | ||||
\(627\) | 0.0320343 | + | 0.304786i | 0.00127933 | + | 0.0121720i | ||||
\(628\) | −16.0376 | + | 3.40890i | −0.639971 | + | 0.136030i | ||||
\(629\) | 1.22890 | − | 3.78215i | 0.0489993 | − | 0.150804i | ||||
\(630\) | 0.962433 | − | 2.48177i | 0.0383442 | − | 0.0988761i | ||||
\(631\) | −4.44586 | − | 13.6830i | −0.176987 | − | 0.544710i | 0.822732 | − | 0.568430i | \(-0.192449\pi\) |
−0.999719 | + | 0.0237202i | \(0.992449\pi\) | |||||||
\(632\) | 4.44991 | + | 7.70748i | 0.177008 | + | 0.306587i | ||||
\(633\) | 3.60724 | + | 0.766743i | 0.143375 | + | 0.0304753i | ||||
\(634\) | 0.836601 | − | 0.372479i | 0.0332257 | − | 0.0147930i | ||||
\(635\) | −4.35973 | + | 20.8747i | −0.173010 | + | 0.828385i | ||||
\(636\) | 12.8288 | − | 9.32065i | 0.508694 | − | 0.369588i | ||||
\(637\) | 6.87608 | − | 30.2675i | 0.272440 | − | 1.19924i | ||||
\(638\) | 0.730086 | + | 0.530438i | 0.0289044 | + | 0.0210003i | ||||
\(639\) | −12.5282 | − | 5.57790i | −0.495606 | − | 0.220658i | ||||
\(640\) | −8.21350 | + | 11.3896i | −0.324667 | + | 0.450215i | ||||
\(641\) | −11.9745 | + | 5.33137i | −0.472963 | + | 0.210577i | −0.629354 | − | 0.777119i | \(-0.716680\pi\) |
0.156392 | + | 0.987695i | \(0.450014\pi\) | |||||||
\(642\) | 0.476226 | − | 0.528903i | 0.0187951 | − | 0.0208741i | ||||
\(643\) | −7.92491 | −0.312528 | −0.156264 | − | 0.987715i | \(-0.549945\pi\) | ||||
−0.156264 | + | 0.987715i | \(0.549945\pi\) | |||||||
\(644\) | −4.85806 | + | 17.6376i | −0.191434 | + | 0.695020i | ||||
\(645\) | −17.3509 | − | 1.76147i | −0.683192 | − | 0.0693576i | ||||
\(646\) | −0.162247 | + | 0.0344866i | −0.00638352 | + | 0.00135686i | ||||
\(647\) | −0.811749 | − | 0.901539i | −0.0319132 | − | 0.0354431i | 0.726977 | − | 0.686662i | \(-0.240925\pi\) |
−0.758890 | + | 0.651219i | \(0.774258\pi\) | |||||||
\(648\) | 0.190954 | + | 1.81681i | 0.00750140 | + | 0.0713710i | ||||
\(649\) | 0.977122 | + | 1.69243i | 0.0383554 | + | 0.0664335i | ||||
\(650\) | −4.18378 | + | 1.89841i | −0.164101 | + | 0.0744617i | ||||
\(651\) | −1.01752 | + | 17.1291i | −0.0398796 | + | 0.671342i | ||||
\(652\) | 25.4412 | − | 18.4841i | 0.996355 | − | 0.723894i | ||||
\(653\) | 27.1822 | − | 5.77775i | 1.06372 | − | 0.226101i | 0.357370 | − | 0.933963i | \(-0.383674\pi\) |
0.706350 | + | 0.707862i | \(0.250340\pi\) | |||||||
\(654\) | 1.07338 | + | 1.19211i | 0.0419726 | + | 0.0466153i | ||||
\(655\) | 0.124501 | + | 35.1057i | 0.00486466 | + | 1.37169i | ||||
\(656\) | −11.7262 | + | 13.0232i | −0.457830 | + | 0.508472i | ||||
\(657\) | 2.46917 | 0.0963314 | ||||||||
\(658\) | 3.36262 | + | 3.40985i | 0.131089 | + | 0.132930i | ||||
\(659\) | −1.43796 | − | 1.04474i | −0.0560150 | − | 0.0406973i | 0.559425 | − | 0.828881i | \(-0.311022\pi\) |
−0.615440 | + | 0.788183i | \(0.711022\pi\) | |||||||
\(660\) | 1.22794 | − | 1.11355i | 0.0477975 | − | 0.0433450i | ||||
\(661\) | 2.01723 | + | 19.1927i | 0.0784612 | + | 0.746509i | 0.961052 | + | 0.276367i | \(0.0891306\pi\) |
−0.882591 | + | 0.470142i | \(0.844203\pi\) | |||||||
\(662\) | 2.76403 | − | 1.23063i | 0.107427 | − | 0.0478297i | ||||
\(663\) | −0.417457 | + | 3.97184i | −0.0162127 | + | 0.154253i | ||||
\(664\) | −5.77828 | + | 4.19817i | −0.224241 | + | 0.162920i | ||||
\(665\) | −2.62060 | + | 4.00525i | −0.101622 | + | 0.155317i | ||||
\(666\) | −1.46315 | − | 1.06304i | −0.0566961 | − | 0.0411921i | ||||
\(667\) | 24.7435 | − | 27.4804i | 0.958072 | − | 1.06405i | ||||
\(668\) | 6.29301 | − | 10.8998i | 0.243484 | − | 0.421726i | ||||
\(669\) | −3.46904 | − | 0.737368i | −0.134121 | − | 0.0285083i | ||||
\(670\) | −4.12100 | + | 0.447917i | −0.159208 | + | 0.0173045i | ||||
\(671\) | 1.33632 | − | 4.11278i | 0.0515882 | − | 0.158772i | ||||
\(672\) | −5.41790 | − | 2.12320i | −0.209000 | − | 0.0819043i | ||||
\(673\) | −34.3312 | + | 24.9431i | −1.32337 | + | 0.961485i | −0.323487 | + | 0.946233i | \(0.604855\pi\) |
−0.999884 | + | 0.0152521i | \(0.995145\pi\) | |||||||
\(674\) | −2.54668 | − | 4.41099i | −0.0980946 | − | 0.169905i | ||||
\(675\) | 11.9137 | + | 20.3012i | 0.458558 | + | 0.781394i | ||||
\(676\) | 6.51820 | − | 11.2899i | 0.250700 | − | 0.434225i | ||||
\(677\) | 18.9672 | + | 8.44476i | 0.728970 | + | 0.324559i | 0.737447 | − | 0.675406i | \(-0.236031\pi\) |
−0.00847606 | + | 0.999964i | \(0.502698\pi\) | |||||||
\(678\) | 0.840682 | − | 2.58735i | 0.0322862 | − | 0.0993667i | ||||
\(679\) | −19.7005 | + | 15.7270i | −0.756036 | + | 0.603546i | ||||
\(680\) | 1.35242 | + | 1.20906i | 0.0518628 | + | 0.0463655i | ||||
\(681\) | −15.0020 | + | 16.6615i | −0.574880 | + | 0.638469i | ||||
\(682\) | −0.307137 | + | 0.531976i | −0.0117609 | + | 0.0203704i | ||||
\(683\) | 8.34987 | + | 1.77482i | 0.319499 | + | 0.0679116i | 0.364870 | − | 0.931059i | \(-0.381114\pi\) |
−0.0453706 | + | 0.998970i | \(0.514447\pi\) | |||||||
\(684\) | 0.359347 | − | 3.41896i | 0.0137400 | − | 0.130727i | ||||
\(685\) | −6.83130 | + | 15.4910i | −0.261011 | + | 0.591880i | ||||
\(686\) | 2.15715 | − | 3.17431i | 0.0823603 | − | 0.121196i | ||||
\(687\) | 8.17017 | + | 5.93597i | 0.311711 | + | 0.226472i | ||||
\(688\) | 3.35301 | − | 31.9017i | 0.127832 | − | 1.21624i | ||||
\(689\) | 4.12517 | + | 39.2484i | 0.157157 | + | 1.49525i | ||||
\(690\) | 0.880344 | + | 1.20270i | 0.0335141 | + | 0.0457859i | ||||
\(691\) | 2.97277 | − | 28.2841i | 0.113090 | − | 1.07598i | −0.779902 | − | 0.625902i | \(-0.784731\pi\) |
0.892991 | − | 0.450074i | \(-0.148602\pi\) | |||||||
\(692\) | −14.8349 | − | 45.6570i | −0.563937 | − | 1.73562i | ||||
\(693\) | −1.99547 | − | 1.31575i | −0.0758018 | − | 0.0499812i | ||||
\(694\) | 1.72891 | + | 5.32104i | 0.0656286 | + | 0.201984i | ||||
\(695\) | 8.56986 | − | 41.0330i | 0.325073 | − | 1.55647i | ||||
\(696\) | 5.22801 | + | 5.80629i | 0.198167 | + | 0.220087i | ||||
\(697\) | 3.09848 | + | 3.44121i | 0.117363 | + | 0.130345i | ||||
\(698\) | 0.799242 | + | 0.355846i | 0.0302518 | + | 0.0134690i | ||||
\(699\) | −2.02713 | −0.0766729 | ||||||||
\(700\) | 25.8538 | − | 1.35804i | 0.977181 | − | 0.0513292i | ||||
\(701\) | 6.87116 | 0.259520 | 0.129760 | − | 0.991545i | \(-0.458579\pi\) | ||||
0.129760 | + | 0.991545i | \(0.458579\pi\) | |||||||
\(702\) | 3.95182 | + | 1.75946i | 0.149152 | + | 0.0664067i | ||||
\(703\) | 2.17604 | + | 2.41674i | 0.0820711 | + | 0.0911492i | ||||
\(704\) | 1.94550 | + | 2.16070i | 0.0733239 | + | 0.0814344i | ||||
\(705\) | −17.6768 | + | 1.92131i | −0.665745 | + | 0.0723606i | ||||
\(706\) | 1.35517 | + | 4.17078i | 0.0510024 | + | 0.156969i | ||||
\(707\) | −11.5447 | + | 5.78126i | −0.434182 | + | 0.217427i | ||||
\(708\) | 2.58584 | + | 7.95839i | 0.0971818 | + | 0.299095i | ||||
\(709\) | 1.24963 | − | 11.8894i | 0.0469309 | − | 0.446517i | −0.945673 | − | 0.325119i | \(-0.894596\pi\) |
0.992604 | − | 0.121398i | \(-0.0387378\pi\) | |||||||
\(710\) | 0.0103796 | + | 2.92675i | 0.000389539 | + | 0.109839i | ||||
\(711\) | 2.46319 | + | 23.4357i | 0.0923769 | + | 0.878907i | ||||
\(712\) | 0.0373709 | − | 0.355560i | 0.00140053 | − | 0.0133252i | ||||
\(713\) | 20.3635 | + | 14.7950i | 0.762620 | + | 0.554076i | ||||
\(714\) | −0.227252 | + | 0.438423i | −0.00850470 | + | 0.0164076i | ||||
\(715\) | 0.872043 | + | 4.03227i | 0.0326126 | + | 0.150798i | ||||
\(716\) | 4.54675 | − | 43.2595i | 0.169920 | − | 1.61668i | ||||
\(717\) | 8.07485 | + | 1.71636i | 0.301561 | + | 0.0640987i | ||||
\(718\) | 1.40776 | − | 2.43831i | 0.0525371 | − | 0.0909969i | ||||
\(719\) | −4.40621 | + | 4.89359i | −0.164324 | + | 0.182500i | −0.819683 | − | 0.572817i | \(-0.805851\pi\) |
0.655359 | + | 0.755317i | \(0.272517\pi\) | |||||||
\(720\) | −15.7102 | + | 9.14474i | −0.585485 | + | 0.340804i | ||||
\(721\) | 13.4645 | + | 5.27654i | 0.501443 | + | 0.196509i | ||||
\(722\) | −1.17478 | + | 3.61562i | −0.0437210 | + | 0.134559i | ||||
\(723\) | 5.44751 | + | 2.42539i | 0.202595 | + | 0.0902012i | ||||
\(724\) | −21.1907 | + | 36.7033i | −0.787545 | + | 1.36407i | ||||
\(725\) | −47.9559 | − | 20.9450i | −1.78104 | − | 0.777879i | ||||
\(726\) | −1.02127 | − | 1.76890i | −0.0379031 | − | 0.0656500i | ||||
\(727\) | −13.8680 | + | 10.0757i | −0.514335 | + | 0.373686i | −0.814466 | − | 0.580212i | \(-0.802970\pi\) |
0.300130 | + | 0.953898i | \(0.402970\pi\) | |||||||
\(728\) | 7.51817 | − | 6.00177i | 0.278642 | − | 0.222441i | ||||
\(729\) | 2.47847 | − | 7.62796i | 0.0917954 | − | 0.282517i | ||||
\(730\) | −0.216042 | − | 0.480643i | −0.00799606 | − | 0.0177894i | ||||
\(731\) | −8.29081 | − | 1.76227i | −0.306647 | − | 0.0651797i | ||||
\(732\) | 9.25847 | − | 16.0361i | 0.342203 | − | 0.592713i | ||||
\(733\) | −18.2121 | + | 20.2266i | −0.672680 | + | 0.747087i | −0.978780 | − | 0.204912i | \(-0.934309\pi\) |
0.306100 | + | 0.951999i | \(0.400976\pi\) | |||||||
\(734\) | 0.865294 | + | 0.628673i | 0.0319386 | + | 0.0232047i | ||||
\(735\) | 4.26221 | + | 13.5973i | 0.157214 | + | 0.501544i | ||||
\(736\) | −6.90570 | + | 5.01728i | −0.254547 | + | 0.184940i | ||||
\(737\) | −0.389081 | + | 3.70186i | −0.0143320 | + | 0.136360i | ||||
\(738\) | 1.92384 | − | 0.856547i | 0.0708174 | − | 0.0315299i | ||||
\(739\) | −0.791115 | − | 7.52695i | −0.0291016 | − | 0.276883i | −0.999390 | − | 0.0349310i | \(-0.988879\pi\) |
0.970288 | − | 0.241952i | \(-0.0777878\pi\) | |||||||
\(740\) | 3.59617 | − | 17.2187i | 0.132198 | − | 0.632971i | ||||
\(741\) | −2.64216 | − | 1.91964i | −0.0970622 | − | 0.0705198i | ||||
\(742\) | −1.29581 | + | 4.70457i | −0.0475708 | + | 0.172710i | ||||
\(743\) | 35.7547 | 1.31171 | 0.655856 | − | 0.754886i | \(-0.272308\pi\) | ||||
0.655856 | + | 0.754886i | \(0.272308\pi\) | |||||||
\(744\) | −3.55862 | + | 3.95225i | −0.130465 | + | 0.144896i | ||||
\(745\) | −8.20288 | − | 2.63315i | −0.300530 | − | 0.0964712i | ||||
\(746\) | 0.294837 | + | 0.327450i | 0.0107948 | + | 0.0119888i | ||||
\(747\) | −18.4981 | + | 3.93190i | −0.676811 | + | 0.143861i | ||||
\(748\) | 0.651773 | − | 0.473541i | 0.0238312 | − | 0.0173144i | ||||
\(749\) | 0.591866 | − | 9.96361i | 0.0216263 | − | 0.364062i | ||||
\(750\) | 1.22155 | − | 1.71950i | 0.0446048 | − | 0.0627872i | ||||
\(751\) | 13.8364 | + | 23.9654i | 0.504899 | + | 0.874510i | 0.999984 | + | 0.00566560i | \(0.00180343\pi\) |
−0.495085 | + | 0.868844i | \(0.664863\pi\) | |||||||
\(752\) | −3.41852 | − | 32.5250i | −0.124660 | − | 1.18607i | ||||
\(753\) | 12.2882 | + | 13.6475i | 0.447808 | + | 0.497341i | ||||
\(754\) | −9.40678 | + | 1.99947i | −0.342575 | + | 0.0728165i | ||||
\(755\) | −1.47976 | − | 6.84231i | −0.0538539 | − | 0.249017i | ||||
\(756\) | −17.1160 | − | 17.3564i | −0.622502 | − | 0.631245i | ||||
\(757\) | 43.7195 | 1.58901 | 0.794506 | − | 0.607256i | \(-0.207730\pi\) | ||||
0.794506 | + | 0.607256i | \(0.207730\pi\) | |||||||
\(758\) | 0.605899 | − | 0.672919i | 0.0220073 | − | 0.0244415i | ||||
\(759\) | 1.22266 | − | 0.544361i | 0.0443796 | − | 0.0197591i | ||||
\(760\) | −1.40923 | + | 0.463419i | −0.0511182 | + | 0.0168100i | ||||
\(761\) | 18.0298 | + | 8.02737i | 0.653579 | + | 0.290992i | 0.706612 | − | 0.707601i | \(-0.250222\pi\) |
−0.0530338 | + | 0.998593i | \(0.516889\pi\) | |||||||
\(762\) | −1.45557 | − | 1.05753i | −0.0527297 | − | 0.0383104i | ||||
\(763\) | 22.1948 | + | 3.67415i | 0.803507 | + | 0.133013i | ||||
\(764\) | 11.7013 | − | 8.50147i | 0.423337 | − | 0.307572i | ||||
\(765\) | 1.96922 | + | 4.38105i | 0.0711971 | + | 0.158397i | ||||
\(766\) | 2.37265 | − | 1.05637i | 0.0857274 | − | 0.0381683i | ||||
\(767\) | −20.3706 | − | 4.32990i | −0.735539 | − | 0.156344i | ||||
\(768\) | 5.76910 | + | 9.99238i | 0.208175 | + | 0.360569i | ||||
\(769\) | 3.22745 | + | 9.93308i | 0.116385 | + | 0.358196i | 0.992233 | − | 0.124390i | \(-0.0396975\pi\) |
−0.875848 | + | 0.482586i | \(0.839697\pi\) | |||||||
\(770\) | −0.0815254 | + | 0.503557i | −0.00293797 | + | 0.0181469i | ||||
\(771\) | 2.55984 | − | 7.87836i | 0.0921902 | − | 0.283732i | ||||
\(772\) | −27.4703 | + | 5.83899i | −0.988677 | + | 0.210150i | ||||
\(773\) | −1.64984 | − | 15.6971i | −0.0593405 | − | 0.564587i | −0.983287 | − | 0.182064i | \(-0.941722\pi\) |
0.923946 | − | 0.382523i | \(-0.124945\pi\) | |||||||
\(774\) | −1.92736 | + | 3.33828i | −0.0692775 | + | 0.119992i | ||||
\(775\) | 10.7667 | − | 33.9542i | 0.386753 | − | 1.21967i | ||||
\(776\) | −7.81288 | −0.280466 | ||||||||
\(777\) | 9.67177 | − | 0.439271i | 0.346973 | − | 0.0157588i | ||||
\(778\) | −1.93876 | + | 5.96688i | −0.0695078 | + | 0.213923i | ||||
\(779\) | −3.70396 | + | 0.787302i | −0.132708 | + | 0.0282080i | ||||
\(780\) | 0.0626481 | + | 17.6650i | 0.00224316 | + | 0.632507i | ||||
\(781\) | 2.57066 | + | 0.546411i | 0.0919854 | + | 0.0195521i | ||||
\(782\) | 0.362189 | + | 0.627329i | 0.0129518 | + | 0.0224332i | ||||
\(783\) | 15.2258 | + | 46.8602i | 0.544125 | + | 1.67465i | ||||
\(784\) | −25.0370 | + | 7.75071i | −0.894180 | + | 0.276811i | ||||
\(785\) | 3.95986 | + | 18.3101i | 0.141333 | + | 0.653516i | ||||
\(786\) | −2.70580 | − | 1.20470i | −0.0965126 | − | 0.0429702i | ||||
\(787\) | −7.22228 | + | 3.21557i | −0.257446 | + | 0.114623i | −0.531402 | − | 0.847120i | \(-0.678335\pi\) |
0.273955 | + | 0.961742i | \(0.411668\pi\) | |||||||
\(788\) | −7.02675 | + | 3.12851i | −0.250318 | + | 0.111449i | ||||
\(789\) | 4.59448 | + | 2.04559i | 0.163568 | + | 0.0728250i | ||||
\(790\) | 4.34642 | − | 2.53000i | 0.154639 | − | 0.0900135i | ||||
\(791\) | −13.4241 | − | 35.7134i | −0.477306 | − | 1.26982i | ||||
\(792\) | −0.228923 | − | 0.704553i | −0.00813443 | − | 0.0250352i | ||||
\(793\) | 23.0420 | + | 39.9098i | 0.818244 | + | 1.41724i | ||||
\(794\) | −1.54219 | − | 0.327803i | −0.0547303 | − | 0.0116333i | ||||
\(795\) | −10.7014 | − | 14.6199i | −0.379539 | − | 0.518514i | ||||
\(796\) | −3.56567 | + | 0.757906i | −0.126382 | + | 0.0268632i | ||||
\(797\) | 13.6079 | − | 41.8808i | 0.482016 | − | 1.48349i | −0.354240 | − | 0.935154i | \(-0.615260\pi\) |
0.836256 | − | 0.548339i | \(-0.184740\pi\) | |||||||
\(798\) | −0.217572 | − | 0.340201i | −0.00770196 | − | 0.0120430i | ||||
\(799\) | −8.64163 | −0.305719 | ||||||||
\(800\) | 9.82273 | + | 7.03072i | 0.347286 | + | 0.248574i | ||||
\(801\) | 0.473315 | − | 0.819806i | 0.0167238 | − | 0.0289664i | ||||
\(802\) | −0.615840 | − | 5.85933i | −0.0217461 | − | 0.206900i | ||||
\(803\) | −0.462847 | + | 0.0983813i | −0.0163335 | + | 0.00347180i | ||||
\(804\) | −4.92525 | + | 15.1584i | −0.173700 | + | 0.534594i | ||||
\(805\) | 20.1717 | + | 5.47915i | 0.710960 | + | 0.193115i | ||||
\(806\) | −2.02285 | − | 6.22570i | −0.0712519 | − | 0.219291i | ||||
\(807\) | 9.89111 | + | 17.1319i | 0.348183 | + | 0.603071i | ||||
\(808\) | −3.91423 | − | 0.831995i | −0.137702 | − | 0.0292695i | ||||
\(809\) | 15.0139 | − | 6.68461i | 0.527860 | − | 0.235018i | −0.125462 | − | 0.992098i | \(-0.540041\pi\) |
0.653322 | + | 0.757080i | \(0.273375\pi\) | |||||||
\(810\) | 1.02626 | − | 0.111545i | 0.0360591 | − | 0.00391931i | ||||
\(811\) | 41.5017 | − | 30.1528i | 1.45732 | − | 1.05881i | 0.473273 | − | 0.880916i | \(-0.343072\pi\) |
0.984050 | − | 0.177892i | \(-0.0569277\pi\) | |||||||
\(812\) | 53.4645 | + | 8.85054i | 1.87623 | + | 0.310593i | ||||
\(813\) | −20.9841 | − | 15.2458i | −0.735945 | − | 0.534695i | ||||
\(814\) | 0.316625 | + | 0.140971i | 0.0110977 | + | 0.00494102i | ||||
\(815\) | −21.2223 | − | 28.9932i | −0.743385 | − | 1.01559i | ||||
\(816\) | 3.08077 | − | 1.37165i | 0.107849 | − | 0.0480172i | ||||
\(817\) | 4.63797 | − | 5.15098i | 0.162262 | − | 0.180210i | ||||
\(818\) | 4.85360 | 0.169702 | ||||||||
\(819\) | 24.6491 | − | 6.42081i | 0.861308 | − | 0.224361i | ||||
\(820\) | 15.2697 | + | 13.6512i | 0.533243 | + | 0.476720i | ||||
\(821\) | −37.9765 | + | 8.07215i | −1.32539 | + | 0.281720i | −0.815618 | − | 0.578590i | \(-0.803603\pi\) |
−0.509770 | + | 0.860310i | \(0.670270\pi\) | |||||||
\(822\) | −0.955789 | − | 1.06151i | −0.0333370 | − | 0.0370244i | ||||
\(823\) | −1.30881 | − | 12.4525i | −0.0456222 | − | 0.434066i | −0.993363 | − | 0.115024i | \(-0.963305\pi\) |
0.947741 | − | 0.319042i | \(-0.103361\pi\) | |||||||
\(824\) | 2.24106 | + | 3.88163i | 0.0780709 | + | 0.135223i | ||||
\(825\) | −1.27728 | − | 1.39848i | −0.0444690 | − | 0.0486889i | ||||
\(826\) | −2.14981 | − | 1.41751i | −0.0748015 | − | 0.0493216i | ||||
\(827\) | 12.9794 | − | 9.43007i | 0.451337 | − | 0.327916i | −0.338786 | − | 0.940863i | \(-0.610016\pi\) |
0.790123 | + | 0.612948i | \(0.210016\pi\) | |||||||
\(828\) | −14.6851 | + | 3.12141i | −0.510343 | + | 0.108477i | ||||
\(829\) | 12.3075 | + | 13.6689i | 0.427457 | + | 0.474740i | 0.917944 | − | 0.396709i | \(-0.129848\pi\) |
−0.490487 | + | 0.871448i | \(0.663181\pi\) | |||||||
\(830\) | 2.38388 | + | 3.25678i | 0.0827457 | + | 0.113044i | ||||
\(831\) | −5.90597 | + | 6.55925i | −0.204876 | + | 0.227538i | ||||
\(832\) | −30.9842 | −1.07419 | ||||||||
\(833\) | 1.34527 | + | 6.79353i | 0.0466109 | + | 0.235382i | ||||
\(834\) | 2.86119 | + | 2.07878i | 0.0990750 | + | 0.0719822i | ||||
\(835\) | −12.4792 | − | 7.14597i | −0.431860 | − | 0.247297i | ||||
\(836\) | 0.0688648 | + | 0.655205i | 0.00238174 | + | 0.0226607i | ||||
\(837\) | −30.6389 | + | 13.6413i | −1.05903 | + | 0.471512i | ||||
\(838\) | 0.486121 | − | 4.62514i | 0.0167928 | − | 0.159773i | ||||
\(839\) | −15.6681 | + | 11.3835i | −0.540921 | + | 0.393002i | −0.824427 | − | 0.565968i | \(-0.808502\pi\) |
0.283506 | + | 0.958971i | \(0.408502\pi\) | |||||||
\(840\) | −1.59684 | + | 4.11769i | −0.0550963 | + | 0.142074i | ||||
\(841\) | −65.1570 | − | 47.3393i | −2.24679 | − | 1.63239i | ||||
\(842\) | −1.34601 | + | 1.49490i | −0.0463867 | + | 0.0515176i | ||||
\(843\) | 10.7268 | − | 18.5794i | 0.369452 | − | 0.639910i | ||||
\(844\) | 7.75455 | + | 1.64828i | 0.266923 | + | 0.0567362i | ||||
\(845\) | −12.9257 | − | 7.40168i | −0.444659 | − | 0.254626i | ||||
\(846\) | −1.21445 | + | 3.73768i | −0.0417535 | + | 0.128504i | ||||
\(847\) | −26.6704 | − | 10.4518i | −0.916405 | − | 0.359127i | ||||
\(848\) | 26.9598 | − | 19.5875i | 0.925805 | − | 0.672636i | ||||
\(849\) | −0.0246022 | − | 0.0426123i | −0.000844347 | − | 0.00146245i | ||||
\(850\) | 0.680508 | − | 0.766647i | 0.0233412 | − | 0.0262958i | ||||
\(851\) | 7.10100 | − | 12.2993i | 0.243419 | − | 0.421614i | ||||
\(852\) | 10.2804 | + | 4.57713i | 0.352201 | + | 0.156810i | ||||
\(853\) | 7.41354 | − | 22.8165i | 0.253835 | − | 0.781223i | −0.740222 | − | 0.672362i | \(-0.765280\pi\) |
0.994057 | − | 0.108861i | \(-0.0347202\pi\) | |||||||
\(854\) | 0.852134 | + | 5.63417i | 0.0291594 | + | 0.192797i | ||||
\(855\) | −3.90782 | − | 0.396722i | −0.133645 | − | 0.0135676i | ||||
\(856\) | 2.06997 | − | 2.29893i | 0.0707500 | − | 0.0785759i | ||||
\(857\) | 2.16521 | − | 3.75025i | 0.0739621 | − | 0.128106i | −0.826672 | − | 0.562684i | \(-0.809769\pi\) |
0.900634 | + | 0.434577i | \(0.143102\pi\) | |||||||
\(858\) | −0.340459 | − | 0.0723667i | −0.0116231 | − | 0.00247056i | ||||
\(859\) | −1.77623 | + | 16.8997i | −0.0606040 | + | 0.576609i | 0.921514 | + | 0.388344i | \(0.126953\pi\) |
−0.982118 | + | 0.188264i | \(0.939714\pi\) | |||||||
\(860\) | −37.2996 | − | 3.78665i | −1.27191 | − | 0.129124i | ||||
\(861\) | −5.18798 | + | 10.0088i | −0.176806 | + | 0.341100i | ||||
\(862\) | 3.77301 | + | 2.74125i | 0.128509 | + | 0.0933675i | ||||
\(863\) | −0.671518 | + | 6.38907i | −0.0228588 | + | 0.217487i | 0.977130 | + | 0.212645i | \(0.0682078\pi\) |
−0.999988 | + | 0.00484153i | \(0.998459\pi\) | |||||||
\(864\) | −1.18886 | − | 11.3113i | −0.0404459 | − | 0.384817i | ||||
\(865\) | −52.1058 | + | 17.1347i | −1.77165 | + | 0.582598i | ||||
\(866\) | 0.297106 | − | 2.82677i | 0.0100961 | − | 0.0960577i | ||||
\(867\) | 4.50712 | + | 13.8715i | 0.153070 | + | 0.471100i | ||||
\(868\) | −2.18737 | + | 36.8227i | −0.0742443 | + | 1.24984i | ||||
\(869\) | −1.39550 | − | 4.29490i | −0.0473390 | − | 0.145694i | ||||
\(870\) | 3.27054 | − | 2.96588i | 0.110882 | − | 0.100553i | ||||
\(871\) | −26.5422 | − | 29.4781i | −0.899347 | − | 0.998826i | ||||
\(872\) | 4.66557 | + | 5.18164i | 0.157996 | + | 0.175472i | ||||
\(873\) | −18.8983 | − | 8.41407i | −0.639611 | − | 0.284773i | ||||
\(874\) | −0.592365 | −0.0200370 | ||||||||
\(875\) | −1.65641 | − | 29.5340i | −0.0559967 | − | 0.998431i | ||||
\(876\) | −2.02616 | −0.0684576 | ||||||||
\(877\) | −51.1008 | − | 22.7515i | −1.72555 | − | 0.768265i | −0.996480 | − | 0.0838272i | \(-0.973286\pi\) |
−0.729071 | − | 0.684438i | \(-0.760048\pi\) | |||||||
\(878\) | −2.05424 | − | 2.28146i | −0.0693271 | − | 0.0769956i | ||||
\(879\) | 8.68025 | + | 9.64039i | 0.292777 | + | 0.325162i | ||||
\(880\) | 2.58053 | − | 2.34014i | 0.0869897 | − | 0.0788863i | ||||
\(881\) | −7.64159 | − | 23.5184i | −0.257452 | − | 0.792355i | −0.993337 | − | 0.115248i | \(-0.963234\pi\) |
0.735885 | − | 0.677106i | \(-0.236766\pi\) | |||||||
\(882\) | 3.12740 | + | 0.372868i | 0.105305 | + | 0.0125551i | ||||
\(883\) | 7.84841 | + | 24.1549i | 0.264120 | + | 0.812878i | 0.991895 | + | 0.127062i | \(0.0405546\pi\) |
−0.727775 | + | 0.685816i | \(0.759445\pi\) | |||||||
\(884\) | −0.897415 | + | 8.53833i | −0.0301833 | + | 0.287175i | ||||
\(885\) | 9.08246 | − | 2.98672i | 0.305304 | − | 0.100398i | ||||
\(886\) | 0.384911 | + | 3.66218i | 0.0129313 | + | 0.123033i | ||||
\(887\) | 5.04812 | − | 48.0297i | 0.169499 | − | 1.61268i | −0.497393 | − | 0.867525i | \(-0.665709\pi\) |
0.666893 | − | 0.745154i | \(-0.267624\pi\) | |||||||
\(888\) | 2.42763 | + | 1.76378i | 0.0814659 | + | 0.0591884i | ||||
\(889\) | −25.2062 | + | 1.14481i | −0.845388 | + | 0.0383957i | ||||
\(890\) | −0.200995 | − | 0.0204050i | −0.00673736 | − | 0.000683976i | ||||
\(891\) | 0.0968935 | − | 0.921880i | 0.00324605 | − | 0.0308841i | ||||
\(892\) | −7.45747 | − | 1.58513i | −0.249694 | − | 0.0530742i | ||||
\(893\) | 3.53338 | − | 6.11999i | 0.118240 | − | 0.204798i | ||||
\(894\) | 0.486360 | − | 0.540158i | 0.0162663 | − | 0.0180656i | ||||
\(895\) | −49.4450 | − | 5.01965i | −1.65276 | − | 0.167788i | ||||
\(896\) | −15.4696 | − | 6.06232i | −0.516802 | − | 0.202528i | ||||
\(897\) | −4.40734 | + | 13.5644i | −0.147157 | + | 0.452902i | ||||
\(898\) | 7.50012 | + | 3.33927i | 0.250282 | + | 0.111433i | ||||
\(899\) | 37.2805 | − | 64.5717i | 1.24337 | − | 2.15359i | ||||
\(900\) | 10.7532 | + | 18.3237i | 0.358440 | + | 0.610790i | ||||
\(901\) | −4.40273 | − | 7.62576i | −0.146676 | − | 0.254051i | ||||
\(902\) | −0.326497 | + | 0.237214i | −0.0108711 | + | 0.00789835i | ||||
\(903\) | −3.08589 | − | 20.4034i | −0.102692 | − | 0.678982i | ||||
\(904\) | 3.65412 | − | 11.2462i | 0.121534 | − | 0.374043i | ||||
\(905\) | 42.0216 | + | 24.0629i | 1.39685 | + | 0.799878i | ||||
\(906\) | 0.577720 | + | 0.122798i | 0.0191935 | + | 0.00407970i | ||||
\(907\) | −11.7226 | + | 20.3041i | −0.389242 | + | 0.674186i | −0.992348 | − | 0.123475i | \(-0.960596\pi\) |
0.603106 | + | 0.797661i | \(0.293930\pi\) | |||||||
\(908\) | −32.2502 | + | 35.8174i | −1.07026 | + | 1.18864i | ||||
\(909\) | −8.57199 | − | 6.22791i | −0.284315 | − | 0.206567i | ||||
\(910\) | −3.40655 | − | 4.23634i | −0.112926 | − | 0.140433i | ||||
\(911\) | 28.1623 | − | 20.4611i | 0.933058 | − | 0.677906i | −0.0136817 | − | 0.999906i | \(-0.504355\pi\) |
0.946740 | + | 0.322000i | \(0.104355\pi\) | |||||||
\(912\) | −0.288262 | + | 2.74263i | −0.00954532 | + | 0.0908176i | ||||
\(913\) | 3.31083 | − | 1.47407i | 0.109572 | − | 0.0487847i | ||||
\(914\) | −0.866769 | − | 8.24676i | −0.0286702 | − | 0.272778i | ||||
\(915\) | −18.3598 | − | 10.5134i | −0.606955 | − | 0.347562i | ||||
\(916\) | 17.5636 | + | 12.7607i | 0.580316 | + | 0.421624i | ||||
\(917\) | −40.1965 | + | 10.4708i | −1.32741 | + | 0.345775i | ||||
\(918\) | −0.965188 | −0.0318560 | ||||||||
\(919\) | −13.5189 | + | 15.0143i | −0.445947 | + | 0.495275i | −0.923645 | − | 0.383250i | \(-0.874805\pi\) |
0.477697 | + | 0.878524i | \(0.341472\pi\) | |||||||
\(920\) | 3.82651 | + | 5.22765i | 0.126156 | + | 0.172351i | ||||
\(921\) | −8.74990 | − | 9.71775i | −0.288319 | − | 0.320211i | ||||
\(922\) | −0.677689 | + | 0.144047i | −0.0223185 | + | 0.00474395i | ||||
\(923\) | −22.6578 | + | 16.4619i | −0.745791 | + | 0.541849i | ||||
\(924\) | 1.63745 | + | 1.07968i | 0.0538683 | + | 0.0355190i | ||||
\(925\) | −19.6879 | − | 4.03907i | −0.647336 | − | 0.132804i | ||||
\(926\) | 0.870948 | + | 1.50853i | 0.0286211 | + | 0.0495733i | ||||
\(927\) | 1.24051 | + | 11.8026i | 0.0407436 | + | 0.387650i | ||||
\(928\) | 16.9191 | + | 18.7906i | 0.555397 | + | 0.616830i | ||||
\(929\) | 57.4206 | − | 12.2051i | 1.88391 | − | 0.400437i | 0.885921 | − | 0.463835i | \(-0.153527\pi\) |
0.997988 | + | 0.0633979i | \(0.0201937\pi\) | |||||||
\(930\) | 2.24047 | + | 2.00298i | 0.0734678 | + | 0.0656804i | ||||
\(931\) | −5.36122 | − | 1.82501i | −0.175707 | − | 0.0598123i | ||||
\(932\) | −4.35775 | −0.142743 | ||||||||
\(933\) | −10.3096 | + | 11.4500i | −0.337521 | + | 0.374855i | ||||
\(934\) | −7.04578 | + | 3.13698i | −0.230545 | + | 0.102645i | ||||
\(935\) | −0.543689 | − | 0.742770i | −0.0177805 | − | 0.0242912i | ||||
\(936\) | 7.21203 | + | 3.21100i | 0.235733 | + | 0.104955i | ||||
\(937\) | 32.2660 | + | 23.4426i | 1.05408 | + | 0.765836i | 0.972985 | − | 0.230870i | \(-0.0741572\pi\) |
0.0810984 | + | 0.996706i | \(0.474157\pi\) | |||||||
\(938\) | −1.72573 | − | 4.59113i | −0.0563472 | − | 0.149906i | ||||
\(939\) | −20.7424 | + | 15.0703i | −0.676904 | + | 0.491799i | ||||
\(940\) | −38.0000 | + | 4.13027i | −1.23942 | + | 0.134715i | ||||
\(941\) | 1.65760 | − | 0.738011i | 0.0540362 | − | 0.0240585i | −0.379541 | − | 0.925175i | \(-0.623918\pi\) |
0.433577 | + | 0.901117i | \(0.357251\pi\) | |||||||
\(942\) | −1.54599 | − | 0.328610i | −0.0503710 | − | 0.0107067i | ||||
\(943\) | 8.26847 | + | 14.3214i | 0.269258 | + | 0.466369i | ||||
\(944\) | 5.43417 | + | 16.7247i | 0.176867 | + | 0.544341i | ||||
\(945\) | −19.7613 | + | 19.6264i | −0.642836 | + | 0.638446i | ||||
\(946\) | 0.228275 | − | 0.702557i | 0.00742185 | − | 0.0228421i | ||||
\(947\) | 59.0165 | − | 12.5443i | 1.91778 | − | 0.407636i | 0.917835 | − | 0.396963i | \(-0.129936\pi\) |
0.999943 | − | 0.0106731i | \(-0.00339741\pi\) | |||||||
\(948\) | −2.02126 | − | 19.2310i | −0.0656473 | − | 0.624593i | ||||
\(949\) | 2.52129 | − | 4.36701i | 0.0818447 | − | 0.141759i | ||||
\(950\) | 0.264693 | + | 0.795400i | 0.00858777 | + | 0.0258062i | ||||
\(951\) | −4.02311 | −0.130458 | ||||||||
\(952\) | −0.987777 | + | 1.90565i | −0.0320140 | + | 0.0617625i | ||||
\(953\) | −7.10949 | + | 21.8808i | −0.230299 | + | 0.708787i | 0.767411 | + | 0.641155i | \(0.221544\pi\) |
−0.997710 | + | 0.0676324i | \(0.978456\pi\) | |||||||
\(954\) | −3.91703 | + | 0.832590i | −0.126819 | + | 0.0269561i | ||||
\(955\) | −9.76085 | − | 13.3350i | −0.315854 | − | 0.431509i | ||||
\(956\) | 17.3587 | + | 3.68970i | 0.561419 | + | 0.119333i | ||||
\(957\) | −1.98226 | − | 3.43337i | −0.0640773 | − | 0.110985i | ||||
\(958\) | −2.15915 | − | 6.64518i | −0.0697589 | − | 0.214696i | ||||
\(959\) | −19.7633 | − | 3.27163i | −0.638191 | − | 0.105646i | ||||
\(960\) | 12.2936 | − | 7.15598i | 0.396775 | − | 0.230958i | ||||
\(961\) | 18.0448 | + | 8.03404i | 0.582089 | + | 0.259163i | ||||
\(962\) | −3.37416 | + | 1.50227i | −0.108787 | + | 0.0484352i | ||||
\(963\) | 7.48281 | − | 3.33156i | 0.241130 | − | 0.107358i | ||||
\(964\) | 11.7106 | + | 5.21390i | 0.377174 | + | 0.167928i | ||||
\(965\) | 6.78270 | + | 31.3628i | 0.218343 | + | 1.00960i | ||||
\(966\) | −1.11936 | + | 1.36276i | −0.0360149 | + | 0.0438460i | ||||
\(967\) | 9.26911 | + | 28.5274i | 0.298075 | + | 0.917379i | 0.982171 | + | 0.187988i | \(0.0601965\pi\) |
−0.684097 | + | 0.729391i | \(0.739803\pi\) | |||||||
\(968\) | −4.43908 | − | 7.68871i | −0.142677 | − | 0.247125i | ||||
\(969\) | 0.712772 | + | 0.151504i | 0.0228975 | + | 0.00486702i | ||||
\(970\) | 0.0156573 | + | 4.41490i | 0.000502725 | + | 0.141754i | ||||
\(971\) | 16.8183 | − | 3.57483i | 0.539724 | − | 0.114722i | 0.0700196 | − | 0.997546i | \(-0.477694\pi\) |
0.469704 | + | 0.882824i | \(0.344360\pi\) | |||||||
\(972\) | 9.76779 | − | 30.0622i | 0.313302 | − | 0.964244i | ||||
\(973\) | 49.5475 | − | 2.25034i | 1.58842 | − | 0.0721426i | ||||
\(974\) | −6.89879 | −0.221052 | ||||||||
\(975\) | 20.1830 | − | 0.143158i | 0.646374 | − | 0.00458474i | ||||
\(976\) | 19.4568 | − | 33.7002i | 0.622797 | − | 1.07872i | ||||
\(977\) | −3.66524 | − | 34.8724i | −0.117261 | − | 1.11567i | −0.881975 | − | 0.471297i | \(-0.843786\pi\) |
0.764713 | − | 0.644370i | \(-0.222880\pi\) | |||||||
\(978\) | 2.96518 | − | 0.630268i | 0.0948159 | − | 0.0201537i | ||||
\(979\) | −0.0560591 | + | 0.172532i | −0.00179166 | + | 0.00551415i | ||||
\(980\) | 9.16256 | + | 29.2304i | 0.292687 | + | 0.933730i | ||||
\(981\) | 5.70503 | + | 17.5583i | 0.182148 | + | 0.560593i | ||||
\(982\) | −0.972848 | − | 1.68502i | −0.0310448 | − | 0.0537712i | ||||
\(983\) | −18.1304 | − | 3.85373i | −0.578269 | − | 0.122915i | −0.0905136 | − | 0.995895i | \(-0.528851\pi\) |
−0.487755 | + | 0.872980i | \(0.662184\pi\) | |||||||
\(984\) | −3.19198 | + | 1.42116i | −0.101757 | + | 0.0453050i | ||||
\(985\) | 3.60298 | + | 8.01580i | 0.114801 | + | 0.255405i | ||||
\(986\) | 1.73596 | − | 1.26125i | 0.0552841 | − | 0.0401663i | ||||
\(987\) | −7.40242 | − | 19.6933i | −0.235621 | − | 0.626845i | ||||
\(988\) | −5.67990 | − | 4.12669i | −0.180702 | − | 0.131287i | ||||
\(989\) | −27.6528 | − | 12.3118i | −0.879309 | − | 0.391494i | ||||
\(990\) | −0.397670 | + | 0.130772i | −0.0126388 | + | 0.00415620i | ||||
\(991\) | 19.7012 | − | 8.77156i | 0.625831 | − | 0.278638i | −0.0692169 | − | 0.997602i | \(-0.522050\pi\) |
0.695047 | + | 0.718964i | \(0.255383\pi\) | |||||||
\(992\) | −11.5165 | + | 12.7904i | −0.365651 | + | 0.406096i | ||||
\(993\) | −13.2919 | −0.421806 | ||||||||
\(994\) | −3.35116 | + | 0.872942i | −0.106292 | + | 0.0276880i | ||||
\(995\) | 0.880401 | + | 4.07091i | 0.0279106 | + | 0.129057i | ||||
\(996\) | 15.1793 | − | 3.22645i | 0.480973 | − | 0.102234i | ||||
\(997\) | 22.4169 | + | 24.8965i | 0.709951 | + | 0.788481i | 0.984927 | − | 0.172970i | \(-0.0553365\pi\) |
−0.274976 | + | 0.961451i | \(0.588670\pi\) | |||||||
\(998\) | 0.122292 | + | 1.16353i | 0.00387109 | + | 0.0368310i | ||||
\(999\) | 9.46165 | + | 16.3881i | 0.299353 | + | 0.518495i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 175.2.q.a.11.10 | ✓ | 144 | |
5.2 | odd | 4 | 875.2.u.b.74.18 | 288 | |||
5.3 | odd | 4 | 875.2.u.b.74.19 | 288 | |||
5.4 | even | 2 | 875.2.q.a.676.9 | 144 | |||
7.2 | even | 3 | inner | 175.2.q.a.86.9 | yes | 144 | |
25.9 | even | 10 | 875.2.q.a.326.10 | 144 | |||
25.12 | odd | 20 | 875.2.u.b.424.18 | 288 | |||
25.13 | odd | 20 | 875.2.u.b.424.19 | 288 | |||
25.16 | even | 5 | inner | 175.2.q.a.116.9 | yes | 144 | |
35.2 | odd | 12 | 875.2.u.b.324.19 | 288 | |||
35.9 | even | 6 | 875.2.q.a.51.10 | 144 | |||
35.23 | odd | 12 | 875.2.u.b.324.18 | 288 | |||
175.9 | even | 30 | 875.2.q.a.576.9 | 144 | |||
175.16 | even | 15 | inner | 175.2.q.a.16.10 | yes | 144 | |
175.37 | odd | 60 | 875.2.u.b.674.19 | 288 | |||
175.163 | odd | 60 | 875.2.u.b.674.18 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.q.a.11.10 | ✓ | 144 | 1.1 | even | 1 | trivial | |
175.2.q.a.16.10 | yes | 144 | 175.16 | even | 15 | inner | |
175.2.q.a.86.9 | yes | 144 | 7.2 | even | 3 | inner | |
175.2.q.a.116.9 | yes | 144 | 25.16 | even | 5 | inner | |
875.2.q.a.51.10 | 144 | 35.9 | even | 6 | |||
875.2.q.a.326.10 | 144 | 25.9 | even | 10 | |||
875.2.q.a.576.9 | 144 | 175.9 | even | 30 | |||
875.2.q.a.676.9 | 144 | 5.4 | even | 2 | |||
875.2.u.b.74.18 | 288 | 5.2 | odd | 4 | |||
875.2.u.b.74.19 | 288 | 5.3 | odd | 4 | |||
875.2.u.b.324.18 | 288 | 35.23 | odd | 12 | |||
875.2.u.b.324.19 | 288 | 35.2 | odd | 12 | |||
875.2.u.b.424.18 | 288 | 25.12 | odd | 20 | |||
875.2.u.b.424.19 | 288 | 25.13 | odd | 20 | |||
875.2.u.b.674.18 | 288 | 175.163 | odd | 60 | |||
875.2.u.b.674.19 | 288 | 175.37 | odd | 60 |